Let us set some global options for all code chunks in this document.

knitr::opts_chunk$set(
  message = FALSE,    # Disable messages printed by R code chunks
  warning = FALSE,    # Disable warnings printed by R code chunks
  echo = TRUE,        # Show R code within code chunks in output
  include = TRUE,     # Include both R code and its results in output
  eval = TRUE,       # Evaluate R code chunks
  cache = FALSE,       # Enable caching of R code chunks for faster rendering
  fig.align = "center",
  out.width = "100%",
  retina = 2,
  error = TRUE,
  collapse = TRUE
)
rm(list = ls())
set.seed(1982)

1 Preprocessing

Let us now load some required libraries.

# Load required libraries

# inla.upgrade(testing = TRUE)
# remotes::install_github("inlabru-org/inlabru", ref = "devel")
# remotes::install_github("davidbolin/rspde", ref = "devel")
# remotes::install_github("davidbolin/metricgraph", ref = "devel")
# remotes::install_github("davidbolin/ngme2", ref = "devel")

library(INLA)
#inla.setOption(num.threads = 7)
library(inlabru)
library(rSPDE)
library(MetricGraph)
library(ngme2)

library(plotly)
library(dplyr)

library(sf)

library(here)

Function standarize() below is later used to standardize the covariate SpeedLimit.

standardize <- function(x) {return((x - mean(x)) / sd(x))}

To keep track of the changes, we provide summaries of every new created object. Those summaries can be accessed by pressing the Show buttons below


We load the graph object sf_graph (which only contains weights) and the data (already graph-processed).

load(here("Graph_objects/graph_construction_19MAY24_FRC0134.RData"))
load(here("Data_files/data_day7142128_hour16_with_no_consecutive_zeros_19MAY24_FRC0134_graph_processed.RData"))
data_on_graph = data_on_graph %>% 
  dplyr::select(-datetime)

We check the units of the graph.

sf_graph$get_edge_lengths() %>% head() %>% capture.output() %>% grep("^Units:", ., value = TRUE)
## [1] "Units: [km]"
summary(sf_graph)
## A metric graph object with:
## 
## Vertices:
##   Total: 8781 
##   Degree 1: 15;  Degree 2: 6409;  Degree 3: 343;  Degree 4: 1842;  Degree 5: 58; 
##   Degree 6: 111;  Degree 7: 2;  Degree 8: 1; 
##   With incompatible directions:  0 
## 
## Edges: 
##   Total: 11104 
##   Lengths: 
##       Min: 0.00283468  ; Max: 1.480513  ; Total: 505.6148 
##   Weights: 
##       Columns: Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   That are circles:  0 
## 
## Graph units: 
##   Vertices unit:  degrees  ; Lengths unit:  km 
## 
## Longitude and Latitude coordinates:  TRUE
##   Which spatial package:  sf 
##   CRS:  EPSG:4326
## 
## Some characteristics of the graph:
##   Connected: TRUE
##   Has loops: FALSE
##   Has multiple edges: TRUE
##   Is a tree: FALSE
##   Distance consistent: FALSE
##   Has Euclidean edges: FALSE
## 
## Computed quantities inside the graph: 
##   Laplacian:  FALSE  ; Geodesic distances:  TRUE 
##   Resistance distances:  FALSE  ; Finite element matrices:  FALSE 
## 
## Mesh: The graph has no mesh! 
## 
## Data: The graph has no data!
## 
## Tolerances: 
##   vertex-vertex:  0.001 
##   vertex-edge:  0.001 
##   edge-edge:  0
summary(data_on_graph)
##        ID           speed              day        .distance_to_graph
##  Min.   :5701   Min.   :  0.000   Min.   :1.000   Min.   :0.000000  
##  1st Qu.:6587   1st Qu.:  1.609   1st Qu.:2.000   1st Qu.:0.001934  
##  Median :6707   Median : 17.703   Median :3.000   Median :0.004114  
##  Mean   :7349   Mean   : 18.239   Mean   :2.526   Mean   :0.004983  
##  3rd Qu.:8729   3rd Qu.: 28.968   3rd Qu.:4.000   3rd Qu.:0.006949  
##  Max.   :8969   Max.   :106.216   Max.   :4.000   Max.   :0.019998  
##   .edge_number   .distance_on_edge    .group             .coord_x     
##  Min.   :    1   Min.   :0.0000    Length:69462       Min.   :-122.5  
##  1st Qu.: 2330   1st Qu.:0.2623    Class :character   1st Qu.:-122.5  
##  Median : 4726   Median :0.5160    Mode  :character   Median :-122.4  
##  Mean   : 4951   Mean   :0.5087                       Mean   :-122.4  
##  3rd Qu.: 7553   3rd Qu.:0.7612                       3rd Qu.:-122.4  
##  Max.   :11100   Max.   :0.9999                       Max.   :-122.4  
##     .coord_y    
##  Min.   :37.70  
##  1st Qu.:37.73  
##  Median :37.77  
##  Mean   :37.76  
##  3rd Qu.:37.78  
##  Max.   :37.81

The following commands remove zero speed observations that are 1m away from the graph, and after that, they remove any speed observations that are 3m away from the graph.

to_remove = data_on_graph %>%
  filter(speed == 0, .distance_to_graph > 0.001) 

data_on_graph = setdiff(data_on_graph, to_remove) %>% 
  filter(.distance_to_graph <= 0.003)
summary(to_remove)
##        ID           speed        day        .distance_to_graph  .edge_number  
##  Min.   :5701   Min.   :0   Min.   :1.000   Min.   :0.001000   Min.   :    1  
##  1st Qu.:6581   1st Qu.:0   1st Qu.:2.000   1st Qu.:0.003212   1st Qu.: 2323  
##  Median :6697   Median :0   Median :3.000   Median :0.005522   Median : 4627  
##  Mean   :7301   Mean   :0   Mean   :2.521   Mean   :0.006538   Mean   : 4884  
##  3rd Qu.:8712   3rd Qu.:0   3rd Qu.:4.000   3rd Qu.:0.008710   3rd Qu.: 7379  
##  Max.   :8969   Max.   :0   Max.   :4.000   Max.   :0.019994   Max.   :11096  
##  .distance_on_edge    .group             .coord_x         .coord_y    
##  Min.   :0.0000    Length:14799       Min.   :-122.5   Min.   :37.70  
##  1st Qu.:0.2894    Class :character   1st Qu.:-122.5   1st Qu.:37.74  
##  Median :0.5327    Mode  :character   Median :-122.4   Median :37.77  
##  Mean   :0.5173                       Mean   :-122.4   Mean   :37.76  
##  3rd Qu.:0.7548                       3rd Qu.:-122.4   3rd Qu.:37.78  
##  Max.   :0.9996                       Max.   :-122.4   Max.   :37.81
summary(data_on_graph)
##        ID           speed             day        .distance_to_graph 
##  Min.   :5701   Min.   :  0.00   Min.   :1.000   Min.   :0.0000000  
##  1st Qu.:6585   1st Qu.: 11.27   1st Qu.:2.000   1st Qu.:0.0006124  
##  Median :6724   Median : 24.14   Median :3.000   Median :0.0013083  
##  Mean   :7475   Mean   : 23.83   Mean   :2.515   Mean   :0.0013795  
##  3rd Qu.:8763   3rd Qu.: 33.80   3rd Qu.:4.000   3rd Qu.:0.0021250  
##  Max.   :8969   Max.   :106.22   Max.   :4.000   Max.   :0.0029997  
##   .edge_number   .distance_on_edge    .group             .coord_x     
##  Min.   :    3   Min.   :0.0000    Length:22764       Min.   :-122.5  
##  1st Qu.: 2077   1st Qu.:0.2687    Class :character   1st Qu.:-122.5  
##  Median : 4550   Median :0.5224    Mode  :character   Median :-122.4  
##  Mean   : 4798   Mean   :0.5140                       Mean   :-122.4  
##  3rd Qu.: 7442   3rd Qu.:0.7654                       3rd Qu.:-122.4  
##  Max.   :11100   Max.   :0.9998                       Max.   :-122.4  
##     .coord_y    
##  Min.   :37.70  
##  1st Qu.:37.73  
##  Median :37.76  
##  Mean   :37.76  
##  3rd Qu.:37.78  
##  Max.   :37.81

We add data to the graph.

sf_graph$add_observations(data = data_on_graph, 
                          group = "day", 
                          normalized = TRUE, 
                          clear_obs = TRUE)
sf_graph$get_data()
## # A tibble: 22,764 × 9
##       ID speed   day .distance_to_graph .coord_x .coord_y .edge_number
##    <int> <dbl> <dbl>              <dbl>    <dbl>    <dbl>        <dbl>
##  1  6658  0        1           0.000281    -122.     37.8            3
##  2  6658  1.61     1           0.00222     -122.     37.8            3
##  3  6613  3.22     1           0.000435    -122.     37.8            3
##  4  6522 14.5      1           0.00213     -122.     37.8            3
##  5  6730  1.61     1           0.00254     -122.     37.8            3
##  6  6658  9.66     1           0.00193     -122.     37.8            3
##  7  6522 22.5      1           0.00284     -122.     37.8            3
##  8  6592 24.1      1           0.00247     -122.     37.8            6
##  9  6658 17.7      1           0.000993    -122.     37.8            6
## 10  6658 16.1      1           0.000867    -122.     37.8            6
## # ℹ 22,754 more rows
## # ℹ 2 more variables: .distance_on_edge <dbl>, .group <chr>
summary(sf_graph)
## A metric graph object with:
## 
## Vertices:
##   Total: 8781 
##   Degree 1: 15;  Degree 2: 6409;  Degree 3: 343;  Degree 4: 1842;  Degree 5: 58; 
##   Degree 6: 111;  Degree 7: 2;  Degree 8: 1; 
##   With incompatible directions:  0 
## 
## Edges: 
##   Total: 11104 
##   Lengths: 
##       Min: 0.00283468  ; Max: 1.480513  ; Total: 505.6148 
##   Weights: 
##       Columns: Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   That are circles:  0 
## 
## Graph units: 
##   Vertices unit:  degrees  ; Lengths unit:  km 
## 
## Longitude and Latitude coordinates:  TRUE
##   Which spatial package:  sf 
##   CRS:  EPSG:4326
## 
## Some characteristics of the graph:
##   Connected: TRUE
##   Has loops: FALSE
##   Has multiple edges: TRUE
##   Is a tree: FALSE
##   Distance consistent: FALSE
##   Has Euclidean edges: FALSE
## 
## Computed quantities inside the graph: 
##   Laplacian:  FALSE  ; Geodesic distances:  TRUE 
##   Resistance distances:  FALSE  ; Finite element matrices:  FALSE 
## 
## Mesh: The graph has no mesh! 
## 
## Data: 
##   Columns:  ID speed day 
##   Groups:  .group 
## 
## Tolerances: 
##   vertex-vertex:  0.001 
##   vertex-edge:  0.001 
##   edge-edge:  0

We get the values of the weights at data locations. This essentially gives us covariates from the weights.

sf_graph$edgeweight_to_data(data_loc = TRUE)
sf_graph$get_data()
## # A tibble: 89,512 × 50
##       ID speed   day .distance_to_graph Length FRC   SpeedLimit StreetName  
##    <int> <dbl> <dbl>              <dbl>  <dbl> <chr>      <dbl> <chr>       
##  1  6658  0        1           0.000281 0.0737 4             32 O'Farrell St
##  2    NA NA       NA          NA        0.0737 4             32 O'Farrell St
##  3    NA NA       NA          NA        0.0737 4             32 O'Farrell St
##  4  6658  1.61     1           0.00222  0.0737 4             32 O'Farrell St
##  5    NA NA       NA          NA        0.0737 4             32 O'Farrell St
##  6  6613  3.22     1           0.000435 0.0737 4             32 O'Farrell St
##  7    NA NA       NA          NA        0.0737 4             32 O'Farrell St
##  8    NA NA       NA          NA        0.0737 4             32 O'Farrell St
##  9    NA NA       NA          NA        0.0737 4             32 O'Farrell St
## 10    NA NA       NA          NA        0.0737 4             32 O'Farrell St
## # ℹ 89,502 more rows
## # ℹ 42 more variables: harmonicAverageSpeed <dbl>, medianSpeed <dbl>,
## #   averageSpeed <dbl>, sampleSize <int>, averageTravelTime <dbl>,
## #   medianTravelTime <dbl>, travelTimeRatio <dbl>, List_Number <int>,
## #   `5percentile` <int>, `10percentile` <int>, `15percentile` <int>,
## #   `20percentile` <int>, `25percentile` <int>, `30percentile` <int>,
## #   `35percentile` <int>, `40percentile` <int>, `45percentile` <int>, …
summary(sf_graph)
## A metric graph object with:
## 
## Vertices:
##   Total: 8781 
##   Degree 1: 15;  Degree 2: 6409;  Degree 3: 343;  Degree 4: 1842;  Degree 5: 58; 
##   Degree 6: 111;  Degree 7: 2;  Degree 8: 1; 
##   With incompatible directions:  0 
## 
## Edges: 
##   Total: 11104 
##   Lengths: 
##       Min: 0.00283468  ; Max: 1.480513  ; Total: 505.6148 
##   Weights: 
##       Columns: Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   That are circles:  0 
## 
## Graph units: 
##   Vertices unit:  degrees  ; Lengths unit:  km 
## 
## Longitude and Latitude coordinates:  TRUE
##   Which spatial package:  sf 
##   CRS:  EPSG:4326
## 
## Some characteristics of the graph:
##   Connected: TRUE
##   Has loops: FALSE
##   Has multiple edges: TRUE
##   Is a tree: FALSE
##   Distance consistent: FALSE
##   Has Euclidean edges: FALSE
## 
## Computed quantities inside the graph: 
##   Laplacian:  FALSE  ; Geodesic distances:  TRUE 
##   Resistance distances:  FALSE  ; Finite element matrices:  FALSE 
## 
## Mesh: The graph has no mesh! 
## 
## Data: 
##   Columns:  ID speed day Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   Groups:  .group 
## 
## Tolerances: 
##   vertex-vertex:  0.001 
##   vertex-edge:  0.001 
##   edge-edge:  0

When running sf_graph$edgeweight_to_data(data_loc = TRUE), some NA values are created (because the data is grouped). We remove them below. We also standardize the SpeedLimit covariate.

data = sf_graph$get_data() %>% 
  drop_na(-StreetName) %>% # this drops all rows with at least one NA value but without taking into account StreetName
  mutate(across(c("SpeedLimit"), ~standardize(.))) %>%
  dplyr::select(speed, SpeedLimit)

The code of chunk below was executed only one time.


{r, eval = FALSE}
aux = data |>
  rename(distance_on_edge = .distance_on_edge, edge_number = .edge_number) |>
  as.data.frame() |>
  dplyr::select(edge_number, distance_on_edge, .group)

distmatrixlist = list()

for (i in 1:4) {
  distmatrixlist[[i]] = sf_graph$compute_geodist_PtE(PtE = aux %>% 
                                                       filter(.group == as.character(i)) %>% 
                                                       dplyr::select(-.group),
                                                     normalized = TRUE,
                                                     include_vertices = FALSE)
}


save(distmatrixlist, file = here("Models_output/distmatrix_day7142128_hour16.RData"))
# 
# aa = aux %>% filter(.group == as.character(4)) %>% dplyr::select(-.group)
# dim(unique(aa))
# AA = sf_graph$compute_geodist_PtE(PtE = aa,normalized = TRUE,
#                                                      include_vertices = FALSE)

The code of chunk above was executed only one time.


summary(data)
##      speed          SpeedLimit         .group           .edge_number  
##  Min.   :  0.00   Min.   :-2.4950   Length:22764       Min.   :    3  
##  1st Qu.: 11.27   1st Qu.:-0.4668   Class :character   1st Qu.: 2077  
##  Median : 24.14   Median :-0.4668   Mode  :character   Median : 4550  
##  Mean   : 23.83   Mean   : 0.0000                      Mean   : 4798  
##  3rd Qu.: 33.80   3rd Qu.: 0.2707                      3rd Qu.: 7442  
##  Max.   :106.22   Max.   : 5.5255                      Max.   :11100  
##  .distance_on_edge    .coord_x         .coord_y    
##  Min.   :0.0000    Min.   :-122.5   Min.   :37.70  
##  1st Qu.:0.2687    1st Qu.:-122.5   1st Qu.:37.73  
##  Median :0.5224    Median :-122.4   Median :37.76  
##  Mean   :0.5140    Mean   :-122.4   Mean   :37.76  
##  3rd Qu.:0.7654    3rd Qu.:-122.4   3rd Qu.:37.78  
##  Max.   :0.9998    Max.   :-122.4   Max.   :37.81

We add the data again but now with the new standardized SpeedLimit covariate.

sf_graph$add_observations(data = data, 
                          group = "day", 
                          normalized = TRUE, 
                          clear_obs = TRUE)
sf_graph$get_data()
## # A tibble: 22,764 × 7
##    speed SpeedLimit .coord_x .coord_y .edge_number .distance_on_edge .group
##    <dbl>      <dbl>    <dbl>    <dbl>        <dbl>             <dbl> <chr> 
##  1  0         -1.20    -122.     37.8            3            0.0148 1     
##  2  1.61      -1.20    -122.     37.8            3            0.0489 1     
##  3  3.22      -1.20    -122.     37.8            3            0.0790 1     
##  4 14.5       -1.20    -122.     37.8            3            0.459  1     
##  5  1.61      -1.20    -122.     37.8            3            0.762  1     
##  6  9.66      -1.20    -122.     37.8            3            0.817  1     
##  7 22.5       -1.20    -122.     37.8            3            0.856  1     
##  8 24.1       -1.20    -122.     37.8            6            0.0887 1     
##  9 17.7       -1.20    -122.     37.8            6            0.139  1     
## 10 16.1       -1.20    -122.     37.8            6            0.698  1     
## # ℹ 22,754 more rows
summary(sf_graph)
## A metric graph object with:
## 
## Vertices:
##   Total: 8781 
##   Degree 1: 15;  Degree 2: 6409;  Degree 3: 343;  Degree 4: 1842;  Degree 5: 58; 
##   Degree 6: 111;  Degree 7: 2;  Degree 8: 1; 
##   With incompatible directions:  0 
## 
## Edges: 
##   Total: 11104 
##   Lengths: 
##       Min: 0.00283468  ; Max: 1.480513  ; Total: 505.6148 
##   Weights: 
##       Columns: Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   That are circles:  0 
## 
## Graph units: 
##   Vertices unit:  degrees  ; Lengths unit:  km 
## 
## Longitude and Latitude coordinates:  TRUE
##   Which spatial package:  sf 
##   CRS:  EPSG:4326
## 
## Some characteristics of the graph:
##   Connected: TRUE
##   Has loops: FALSE
##   Has multiple edges: TRUE
##   Is a tree: FALSE
##   Distance consistent: FALSE
##   Has Euclidean edges: FALSE
## 
## Computed quantities inside the graph: 
##   Laplacian:  FALSE  ; Geodesic distances:  TRUE 
##   Resistance distances:  FALSE  ; Finite element matrices:  FALSE 
## 
## Mesh: The graph has no mesh! 
## 
## Data: 
##   Columns:  speed SpeedLimit 
##   Groups:  .group 
## 
## Tolerances: 
##   vertex-vertex:  0.001 
##   vertex-edge:  0.001 
##   edge-edge:  0

We build a mesh.

h = 0.05
sf_graph$build_mesh(h = h)
summary(sf_graph)
## A metric graph object with:
## 
## Vertices:
##   Total: 8781 
##   Degree 1: 15;  Degree 2: 6409;  Degree 3: 343;  Degree 4: 1842;  Degree 5: 58; 
##   Degree 6: 111;  Degree 7: 2;  Degree 8: 1; 
##   With incompatible directions:  0 
## 
## Edges: 
##   Total: 11104 
##   Lengths: 
##       Min: 0.00283468  ; Max: 1.480513  ; Total: 505.6148 
##   Weights: 
##       Columns: Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   That are circles:  0 
## 
## Graph units: 
##   Vertices unit:  degrees  ; Lengths unit:  km 
## 
## Longitude and Latitude coordinates:  TRUE
##   Which spatial package:  sf 
##   CRS:  EPSG:4326
## 
## Some characteristics of the graph:
##   Connected: TRUE
##   Has loops: FALSE
##   Has multiple edges: TRUE
##   Is a tree: FALSE
##   Distance consistent: FALSE
##   Has Euclidean edges: FALSE
## 
## Computed quantities inside the graph: 
##   Laplacian:  FALSE  ; Geodesic distances:  TRUE 
##   Resistance distances:  FALSE  ; Finite element matrices:  FALSE 
## 
## Mesh: 
##   Max h_e:  0.04999869  ; Min n_e:  0 
## 
## Data: 
##   Columns:  speed SpeedLimit 
##   Groups:  .group 
## 
## Tolerances: 
##   vertex-vertex:  0.001 
##   vertex-edge:  0.001 
##   edge-edge:  0

We get the value of the weights at mesh locations. This will allow us to built matrices B.sigma and B.range below. Again, sf_graph$edgeweight_to_data(mesh = TRUE, add = FALSE, return = TRUE) creates repeated information (because the data is grouped). We fix that by filtering one group. We also standardize the SpeedLimit covariate.

mesh = sf_graph$edgeweight_to_data(mesh = TRUE, 
                                   add = FALSE, 
                                   return = TRUE) %>% 
  filter(.group == 1) %>%
  mutate(across(c("SpeedLimit"), ~standardize(.))) %>%
  dplyr:::select.data.frame(SpeedLimit)
summary(mesh)
##    SpeedLimit      
##  Min.   :-1.91072  
##  1st Qu.:-0.76409  
##  Median :-0.34714  
##  Mean   : 0.00000  
##  3rd Qu.: 0.06981  
##  Max.   : 2.62366

1.1 Stationary model

  • Observe that we are considering replicates.
stat.time.ini <- Sys.time()
################################################################################
################################# STATIONARY MODEL #############################
################################################################################

rspde_model_stat <- rspde.metric_graph(sf_graph,
                                         parameterization = "matern",
                                         nu = 0.5)
str(rspde_model_stat)
## List of 21
##  $ f                   :List of 3
##   ..$ model   : chr "cgeneric"
##   ..$ n       : int 13932
##   ..$ cgeneric:List of 5
##   .. ..$ model: chr "inla_cgeneric_rspde_stat_int_model"
##   .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. ..$ n    : int 13932
##   .. ..$ debug: logi FALSE
##   .. ..$ data :List of 5
##   .. .. ..$ ints      :List of 5
##   .. .. .. ..$ n          : int 13932
##   .. .. .. ..$ debug      : int 0
##   .. .. .. ..$ m_alpha    : int 1
##   .. .. .. ..$ graph_opt_i: int [1:29068] 0 0 0 0 1 1 1 1 1 2 ...
##   .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. ..$ doubles   :List of 4
##   .. .. .. ..$ matrices_less   : num [1:58136] 0.0534 0 0 0 0.0776 ...
##   .. .. .. ..$ theta.prior.mean: num [1:2] 0 1.35
##   .. .. .. ..$ start.theta     : num [1:2] 0 1.35
##   .. .. .. ..$ nu              : num 0.5
##   .. .. ..$ characters:List of 4
##   .. .. .. ..$ model            : chr "inla_cgeneric_rspde_stat_int_model"
##   .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. ..$ parameterization : chr "matern"
##   .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. ..$ matrices  :List of 1
##   .. .. .. ..$ theta.prior.prec: num [1:6] 2 2 0.1 0 0 0.1
##   .. .. ..$ smatrices : list()
##   .. ..- attr(*, "class")= chr "inla.cgeneric"
##  $ cgeneric_type       : chr "int_alpha"
##  $ nu                  : num 0.5
##  $ theta.prior.mean    : num [1:2] 0 1.35
##  $ prior.nu            :List of 4
##   ..$ loglocation: num -5e-06
##   ..$ mean       : num 1
##   ..$ prec       : num 3
##   ..$ logscale   : num 1
##  $ theta.prior.prec    : num [1:2, 1:2] 0.1 0 0 0.1
##  $ start.nu            : num 0.5
##  $ integer.nu          : logi TRUE
##  $ start.theta         : num [1:2] 0 1.35
##  $ stationary          : logi TRUE
##  $ rspde.order         : num 2
##  $ dim                 : num 1
##  $ est_nu              : logi FALSE
##  $ nu.upper.bound      : num 2
##  $ prior.nu.dist       : chr "lognormal"
##  $ debug               : logi FALSE
##  $ type.rational.approx: chr "chebfun"
##  $ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##  $ fem_mesh            :List of 4
##   ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. ..@ factors : list()
##   ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. ..@ factors : list()
##   ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. ..@ factors : list()
##   ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. ..@ factors : list()
##  $ parameterization    : chr "matern"
##  $ n.spde              : int 13932
##  - attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
data_rspde_bru_stat <- graph_data_rspde(rspde_model_stat,
                                        repl = ".all",
                                        loc_name = "loc")
str(data_rspde_bru_stat)
## List of 4
##  $ data :List of 8
##   ..$ speed            : num [1:22764] 0 1.61 3.22 14.48 1.61 ...
##   ..$ SpeedLimit       : num [1:22764] -1.2 -1.2 -1.2 -1.2 -1.2 ...
##   ..$ .coord_x         : num [1:22764] -122 -122 -122 -122 -122 ...
##   ..$ .coord_y         : num [1:22764] 37.8 37.8 37.8 37.8 37.8 ...
##   ..$ .edge_number     : num [1:22764] 3 3 3 3 3 3 3 6 6 6 ...
##   ..$ .distance_on_edge: num [1:22764] 0.0148 0.0489 0.079 0.4594 0.7623 ...
##   ..$ .group           : chr [1:22764] "1" "1" "1" "1" ...
##   ..$ loc              : num [1:22764, 1:2] 3 3 3 3 3 3 3 6 6 6 ...
##   ..- attr(*, "class")= chr [1:2] "metric_graph_data" "list"
##  $ index:List of 3
##   ..$ field      : int [1:55728] 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ field.group: int [1:55728] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ field.repl : int [1:55728] 1 1 1 1 1 1 1 1 1 1 ...
##   ..- attr(*, "class")= chr [1:2] "inla_rspde_index" "list"
##   ..- attr(*, "rspde.order")= num 0
##   ..- attr(*, "integer_nu")= logi TRUE
##   ..- attr(*, "n.mesh")= int 13932
##   ..- attr(*, "name")= chr "field"
##   ..- attr(*, "n.group")= int 1
##   ..- attr(*, "n.repl")= int 4
##  $ repl : chr [1:22764] "1" "1" "1" "1" ...
##  $ basis:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. ..@ i       : int [1:45528] 0 1 2 3 9 10 11 12 4 5 ...
##   .. ..@ p       : int [1:55729] 0 0 0 0 0 8 14 14 14 20 ...
##   .. ..@ Dim     : int [1:2] 22764 55728
##   .. ..@ Dimnames:List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : NULL
##   .. ..@ x       : num [1:45528] 0.9704 0.9022 0.8421 0.0812 0.3953 ...
##   .. ..@ factors : list()
cmp_stat = speed ~ -1 +
  Intercept(1) +
  SpeedLimit +
  field(loc, model = rspde_model_stat,
        replicate = data_rspde_bru_stat[["repl"]])

rspde_fit_stat <-
  bru(cmp_stat,
      data = data_rspde_bru_stat[["data"]],
      family = "gaussian",
      options = list(verbose = FALSE)
  )
str(rspde_fit_stat)
## List of 56
##  $ names.fixed                : chr [1:2] "Intercept" "SpeedLimit"
##  $ summary.fixed              :'data.frame': 2 obs. of  7 variables:
##   ..$ mean      : num [1:2] 27.36 3.24
##   ..$ sd        : num [1:2] 0.302 0.169
##   ..$ 0.025quant: num [1:2] 26.8 2.9
##   ..$ 0.5quant  : num [1:2] 27.36 3.24
##   ..$ 0.975quant: num [1:2] 27.96 3.56
##   ..$ mode      : num [1:2] 27.36 3.24
##   ..$ kld       : num [1:2] 1.20e-08 2.97e-08
##  $ marginals.fixed            :List of 2
##   ..$ Intercept : num [1:43, 1:2] 26.1 26.3 26.4 26.7 26.8 ...
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ SpeedLimit: num [1:43, 1:2] 2.54 2.62 2.72 2.84 2.9 ...
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ summary.lincomb            :'data.frame': 0 obs. of  0 variables
##  $ marginals.lincomb          : NULL
##  $ size.lincomb               : NULL
##  $ summary.lincomb.derived    :'data.frame': 0 obs. of  0 variables
##  $ marginals.lincomb.derived  : NULL
##  $ size.lincomb.derived       : NULL
##  $ mlik                       : num [1:2, 1] -90149 -90148
##   ..- attr(*, "dimnames")=List of 2
##   .. ..$ : chr [1:2] "log marginal-likelihood (integration)" "log marginal-likelihood (Gaussian)"
##   .. ..$ : NULL
##  $ cpo                        :List of 3
##   ..$ cpo    : logi(0) 
##   ..$ pit    : logi(0) 
##   ..$ failure: logi(0) 
##  $ gcpo                       :List of 5
##   ..$ gcpo  : NULL
##   ..$ kld   : NULL
##   ..$ mean  : NULL
##   ..$ sd    : NULL
##   ..$ groups: NULL
##  $ po                         :List of 1
##   ..$ po: num [1:22764] 0.0308 0.0334 0.0355 0.0326 0.0204 ...
##  $ waic                       :List of 4
##   ..$ waic       : num 174215
##   ..$ p.eff      : num 5021
##   ..$ local.waic : num [1:22764] 7.18 6.94 6.75 7.12 8.32 ...
##   ..$ local.p.eff: num [1:22764] 0.1113 0.0676 0.0393 0.1365 0.2661 ...
##  $ residuals                  :List of 1
##   ..$ deviance.residuals: num [1:22764] -0.818 -0.689 -0.57 0.754 -1.277 ...
##  $ model.random               : chr "CGeneric"
##  $ summary.random             :List of 1
##   ..$ field:'data.frame':    55728 obs. of  8 variables:
##   .. ..$ ID        : num [1:55728] 1 2 3 4 5 6 7 8 9 10 ...
##   .. ..$ mean      : num [1:55728] -3.15 -1.71 5.23 1.94 -16.88 ...
##   .. ..$ sd        : num [1:55728] 11.86 12.16 16.88 17.26 4.41 ...
##   .. ..$ 0.025quant: num [1:55728] -26.4 -25.6 -27.9 -31.9 -25.5 ...
##   .. ..$ 0.5quant  : num [1:55728] -3.15 -1.71 5.22 1.93 -16.88 ...
##   .. ..$ 0.975quant: num [1:55728] 20.1 22.12 38.35 35.8 -8.23 ...
##   .. ..$ mode      : num [1:55728] -3.15 -1.71 5.22 1.93 -16.88 ...
##   .. ..$ kld       : num [1:55728] 2.05e-11 1.46e-11 3.91e-11 2.12e-11 4.49e-11 ...
##  $ marginals.random           :List of 1
##   ..$ field:List of 55728
##   .. ..$ index.1    : num [1:43, 1:2] -53.8 -47.3 -39.9 -30.8 -26.4 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.2    : num [1:43, 1:2] -53.7 -47 -39.3 -30 -25.6 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.3    : num [1:43, 1:2] -66.7 -57.6 -46.9 -34 -27.9 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.4    : num [1:43, 1:2] -71.7 -62.3 -51.4 -38.2 -31.9 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.5    : num [1:43, 1:2] -35.7 -33.3 -30.5 -27.1 -25.5 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.6    : num [1:43, 1:2] -30.9 -27.9 -24.4 -20.2 -18.1 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.7    : num [1:43, 1:2] -61.8 -54.5 -46 -35.8 -30.9 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.8    : num [1:43, 1:2] -69.8 -61.4 -51.5 -39.6 -33.9 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.9    : num [1:43, 1:2] -30.1 -27.1 -23.6 -19.5 -17.4 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.10   : num [1:43, 1:2] -34.1 -31.3 -28.1 -24.2 -22.3 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.11   : num [1:43, 1:2] -31.5 -28.8 -25.7 -22 -20.2 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.12   : num [1:43, 1:2] -31.3 -28.5 -25.2 -21.2 -19.3 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.13   : num [1:43, 1:2] -40.3 -35.5 -29.9 -23.1 -19.8 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.14   : num [1:43, 1:2] -18.7 -16.7 -14.4 -11.5 -10.2 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.15   : num [1:43, 1:2] -31.9 -29.4 -26.4 -22.8 -21.1 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.16   : num [1:43, 1:2] -38.7 -35.6 -32.1 -27.9 -25.8 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
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##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.17   : num [1:43, 1:2] -69.7 -61.9 -52.8 -41.7 -36.4 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.18   : num [1:43, 1:2] -46.6 -42.2 -37.1 -30.9 -27.9 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.19   : num [1:43, 1:2] -67.1 -60.1 -51.9 -42.1 -37.3 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.20   : num [1:43, 1:2] -52.1 -47.4 -41.9 -35.2 -32 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.21   : num [1:43, 1:2] -28.3 -25.9 -23.2 -19.9 -18.3 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.22   : num [1:43, 1:2] -29.8 -27.5 -24.8 -21.5 -19.9 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.23   : num [1:43, 1:2] -27.6 -24.9 -21.9 -18.1 -16.3 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.24   : num [1:43, 1:2] -24.8 -22.1 -19.1 -15.4 -13.6 ...
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##   .. .. [list output truncated]
##  $ size.random                :List of 1
##   ..$ :List of 5
##   .. ..$ n     : num 13932
##   .. ..$ N     : num 13932
##   .. ..$ Ntotal: num 55728
##   .. ..$ ngroup: num 1
##   .. ..$ nrep  : num 4
##  $ summary.linear.predictor   :'data.frame': 78494 obs. of  7 variables:
##   ..$ mean      : num [1:78494] 6.69 6.94 7.15 9.89 13.33 ...
##   ..$ sd        : num [1:78494] 4.28 4.05 3.89 5.69 4.03 ...
##   ..$ 0.025quant: num [1:78494] -1.704 -1.009 -0.479 -1.28 5.428 ...
##   ..$ 0.5quant  : num [1:78494] 6.69 6.94 7.15 9.89 13.33 ...
##   ..$ 0.975quant: num [1:78494] 15.1 14.9 14.8 21.1 21.2 ...
##   ..$ mode      : num [1:78494] 6.69 6.94 7.15 9.89 13.33 ...
##   ..$ kld       : num [1:78494] 4.50e-11 4.57e-11 4.61e-11 2.89e-11 4.69e-11 ...
##  $ marginals.linear.predictor : NULL
##  $ summary.fitted.values      :'data.frame': 78494 obs. of  6 variables:
##   ..$ mean      : num [1:78494] 6.69 6.94 7.15 9.89 13.33 ...
##   ..$ sd        : num [1:78494] 4.28 4.05 3.89 5.69 4.03 ...
##   ..$ 0.025quant: num [1:78494] -1.704 -1.009 -0.479 -1.28 5.428 ...
##   ..$ 0.5quant  : num [1:78494] 6.69 6.94 7.15 9.89 13.33 ...
##   ..$ 0.975quant: num [1:78494] 15.1 14.9 14.8 21.1 21.2 ...
##   ..$ mode      : num [1:78494] 6.69 6.94 7.15 9.89 13.33 ...
##  $ marginals.fitted.values    : NULL
##  $ size.linear.predictor      :List of 5
##   ..$ n     : num 55730
##   ..$ N     : num 55730
##   ..$ Ntotal: num 78494
##   ..$ ngroup: num 1
##   ..$ nrep  : num 2
##  $ summary.hyperpar           :'data.frame': 3 obs. of  6 variables:
##   ..$ mean      : num [1:3] 0.0106 2.8589 -1.3061
##   ..$ sd        : num [1:3] 0.000138 0.018252 0.072617
##   ..$ 0.025quant: num [1:3] 0.0103 2.8231 -1.4482
##   ..$ 0.5quant  : num [1:3] 0.0106 2.8589 -1.3064
##   ..$ 0.975quant: num [1:3] 0.0109 2.895 -1.1623
##   ..$ mode      : num [1:3] 0.0106 2.8587 -1.3077
##  $ marginals.hyperpar         :List of 3
##   ..$ Precision for the Gaussian observations: num [1:43, 1:2] 0.01 0.0101 0.0102 0.0103 0.0103 ...
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##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta1 for field                       : num [1:43, 1:2] 2.78 2.79 2.8 2.82 2.82 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta2 for field                       : num [1:43, 1:2] -1.61 -1.57 -1.53 -1.47 -1.45 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ internal.summary.hyperpar  :'data.frame': 3 obs. of  6 variables:
##   ..$ mean      : num [1:3] -4.55 2.86 -1.31
##   ..$ sd        : num [1:3] 0.013 0.0183 0.0726
##   ..$ 0.025quant: num [1:3] -4.57 2.82 -1.45
##   ..$ 0.5quant  : num [1:3] -4.55 2.86 -1.31
##   ..$ 0.975quant: num [1:3] -4.52 2.89 -1.16
##   ..$ mode      : num [1:3] -4.55 2.86 -1.31
##  $ internal.marginals.hyperpar:List of 3
##   ..$ Log precision for the Gaussian observations: num [1:43, 1:2] -4.6 -4.59 -4.59 -4.58 -4.57 ...
##   .. ..- attr(*, "hyperid")= chr "65001|INLA.Data1"
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta1 for field                           : num [1:43, 1:2] 2.78 2.79 2.8 2.82 2.82 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta2 for field                           : num [1:43, 1:2] -1.61 -1.57 -1.53 -1.47 -1.45 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ offset.linear.predictor    : num [1:78494] 0 0 0 0 0 0 0 0 0 0 ...
##  $ model.spde2.blc            : NULL
##  $ summary.spde2.blc          : list()
##  $ marginals.spde2.blc        : NULL
##  $ size.spde2.blc             : NULL
##  $ model.spde3.blc            : NULL
##  $ summary.spde3.blc          : list()
##  $ marginals.spde3.blc        : NULL
##  $ size.spde3.blc             : NULL
##  $ logfile                    : chr [1:599] "[PANUA] PARDISO License is expired." "[PANUA] Please obtain a new PARDISO license at https://www.panua.ch/products/pardiso" "        Read ntt 24 1 with max.threads 24" "        Found num.threads = 24:1 max_threads = 24" ...
##  $ misc                       :List of 22
##   ..$ cov.intern                        : num [1:3, 1:3] 1.68e-04 9.09e-06 -2.34e-04 9.09e-06 3.33e-04 ...
##   ..$ cor.intern                        : num [1:3, 1:3] 1 0.0384 -0.2487 0.0384 1 ...
##   ..$ cov.intern.eigenvalues            : num [1:3] 0.000101 0.000206 0.005466
##   ..$ cov.intern.eigenvectors           : num [1:3, 1:3] 0.673 -0.721 0.166 -0.739 -0.667 ...
##   ..$ reordering                        : int [1:55730] 24995 25011 16161 16171 24046 24440 24080 24099 24110 24079 ...
##   ..$ theta.tags                        : chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   ..$ log.posterior.mode                : num -90139
##   ..$ stdev.corr.negative               : num [1:3] 1.005 0.998 0.985
##   ..$ stdev.corr.positive               : num [1:3] 0.995 1.002 1.015
##   ..$ to.theta                          :List of 3
##   .. ..$ Log precision for the Gaussian observations:function (x)  
##   .. ..$ Theta1 for field                           :function (x)  
##   .. ..$ Theta2 for field                           :function (x)  
##   ..$ from.theta                        :List of 3
##   .. ..$ Log precision for the Gaussian observations:function (x)  
##   .. ..$ Theta1 for field                           :function (x)  
##   .. ..$ Theta2 for field                           :function (x)  
##   ..$ mode.status                       : num 0
##   ..$ lincomb.derived.correlation.matrix: NULL
##   ..$ lincomb.derived.covariance.matrix : NULL
##   ..$ opt.directions                    : num [1:3, 1:3] 0.341 0.298 0.892 0.894 0.192 ...
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : chr [1:3] "theta:1" "theta:2" "theta:3"
##   .. .. ..$ : chr [1:3] "dir:1" "dir:2" "dir:3"
##   ..$ configs                           :List of 17
##   .. ..$ .preopt          : logi TRUE
##   .. ..$ lite             : logi FALSE
##   .. ..$ mpred            : int 22764
##   .. ..$ npred            : int 55730
##   .. ..$ mnpred           : int 78494
##   .. ..$ Npred            : int 22764
##   .. ..$ n                : int 55730
##   .. ..$ nz               : int 148301
##   .. ..$ prior_nz         : int 116274
##   .. ..$ ntheta           : int 3
##   .. ..$ nconfig          : int 15
##   .. ..$ offsets          : num [1:78494] 0 0 0 0 0 0 0 0 0 0 ...
##   .. ..$ contents         :List of 3
##   .. .. ..$ tag   : chr [1:5] "APredictor" "Predictor" "field" "Intercept" ...
##   .. .. ..$ start : int [1:5] 1 22765 78495 134223 134224
##   .. .. ..$ length: int [1:5] 22764 55730 55728 1 1
##   .. ..$ A                :Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. ..@ i       : int [1:55730] 2 3 4 5 6 7 8 9 10 11 ...
##   .. .. .. ..@ j       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. ..$ : NULL
##   .. .. .. .. ..$ : NULL
##   .. .. .. ..@ x       : num [1:55730] 1 1 1 1 1 1 1 1 1 1 ...
##   .. .. .. ..@ factors : list()
##   .. ..$ pA               :Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. ..@ i       : int [1:91037] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. ..@ j       : int [1:91037] 0 0 0 0 0 0 0 0 0 0 ...
##   .. .. .. ..@ Dim     : int [1:2] 22764 55730
##   .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. ..$ : NULL
##   .. .. .. .. ..$ : NULL
##   .. .. .. ..@ x       : num [1:91037] 1 1 1 1 1 1 1 1 1 1 ...
##   .. .. .. ..@ factors : list()
##   .. ..$ config           :List of 15
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.55 2.86 -1.31
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -3.41
##   .. .. .. ..$ log.posterior.orig: num 0
##   .. .. .. ..$ mean              : num [1:55730] -3.14 -1.7 5.2 1.91 -16.88 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -3.14 -1.7 5.2 1.91 -16.88 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0475 0.0239 0.0115 0.0103 0.0528 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 140.5 147.6 284.5 297.4 19.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0475 0.0239 0.0115 0.0103 0.0126 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.071 -0.0565 -0.0417 0.0488 -0.1244 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.69 6.93 7.15 9.88 13.33 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.36 3.24 -3.14 -1.7 5.2 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.53 2.84 -1.3
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.49
##   .. .. .. ..$ log.posterior.orig: num -1.81
##   .. .. .. ..$ mean              : num [1:55730] -3.14 -1.7 5.19 1.91 -16.82 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -3.14 -1.7 5.19 1.91 -16.82 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0489 0.0247 0.0119 0.0106 0.0537 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 136.6 143.6 276.7 289.3 19.1 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0489 0.0247 0.0119 0.0106 0.013 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0723 -0.0576 -0.0426 0.0493 -0.1262 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.72 6.97 7.18 9.9 13.35 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.35 3.25 -3.14 -1.7 5.19 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.56 2.87 -1.31
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.49
##   .. .. .. ..$ log.posterior.orig: num -1.81
##   .. .. .. ..$ mean              : num [1:55730] -3.15 -1.7 5.22 1.91 -16.94 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -3.15 -1.7 5.22 1.91 -16.94 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.04603 0.02322 0.01117 0.00998 0.05187 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 144.5 151.8 292.5 305.8 19.8 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.04603 0.02322 0.01117 0.00998 0.01219 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0697 -0.0554 -0.0409 0.0484 -0.1226 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.65 6.9 7.12 9.87 13.31 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.37 3.22 -3.15 -1.7 5.22 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.57 2.84 -1.31
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.48
##   .. .. .. ..$ log.posterior.orig: num -1.81
##   .. .. .. ..$ mean              : num [1:55730] -3.08 -1.67 5.08 1.87 -16.65 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -3.08 -1.67 5.08 1.87 -16.65 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0494 0.0249 0.012 0.0107 0.0525 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 135.5 142.3 274.4 286.7 19.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0494 0.0249 0.012 0.0107 0.0131 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0708 -0.0566 -0.042 0.0472 -0.1227 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.81 7.05 7.26 9.94 13.4 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.32 3.29 -3.08 -1.67 5.08 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.53 2.88 -1.31
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.49
##   .. .. .. ..$ log.posterior.orig: num -1.82
##   .. .. .. ..$ mean              : num [1:55730] -3.2 -1.73 5.32 1.95 -17.11 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -3.2 -1.73 5.32 1.95 -17.11 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0457 0.023 0.0111 0.0099 0.0531 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 145.7 153.1 294.9 308.4 19.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0457 0.023 0.0111 0.0099 0.0121 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0712 -0.0564 -0.0414 0.0504 -0.1262 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.57 6.82 7.04 9.83 13.26 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.41 3.18 -3.2 -1.73 5.32 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.55 2.89 -1.17
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.48
##   .. .. .. ..$ log.posterior.orig: num -1.81
##   .. .. .. ..$ mean              : num [1:55730] -3.69 -2.14 6.41 2.68 -17.04 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -3.69 -2.14 6.41 2.68 -17.04 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0516 0.0259 0.0124 0.0111 0.0535 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 144.1 153.9 293.4 312.3 19.1 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0516 0.0259 0.0124 0.0111 0.0136 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0722 -0.0577 -0.0429 0.048 -0.1242 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.84 7.08 7.29 9.93 13.38 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.47 3.06 -3.69 -2.14 6.41 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.54 2.83 -1.44
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.51
##   .. .. .. ..$ log.posterior.orig: num -1.84
##   .. .. .. ..$ mean              : num [1:55730] -2.62 -1.31 4.13 1.31 -16.71 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.62 -1.31 4.13 1.31 -16.71 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.04381 0.02227 0.01073 0.00962 0.05211 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 136.2 141 274.3 282.4 19.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.04381 0.02227 0.01073 0.00962 0.01168 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0699 -0.0554 -0.0406 0.0494 -0.1247 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.55 6.8 7.02 9.86 13.28 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.26 3.41 -2.62 -1.31 4.13 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.54 2.86 -1.39
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.44
##   .. .. .. ..$ log.posterior.orig: num -1.77
##   .. .. .. ..$ mean              : num [1:55730] -2.87 -1.48 4.64 1.56 -16.95 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.87 -1.48 4.64 1.56 -16.95 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0435 0.022 0.0106 0.0095 0.0521 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 143.3 149.3 289.2 299.7 19.8 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0435 0.022 0.0106 0.0095 0.0116 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0697 -0.0552 -0.0404 0.0498 -0.1245 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.52 6.77 6.99 9.83 13.25 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.33 3.3 -2.87 -1.48 4.64 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.54 2.89 -1.23
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.41
##   .. .. .. ..$ log.posterior.orig: num -1.73
##   .. .. .. ..$ mean              : num [1:55730] -3.5 -1.97 5.98 2.37 -17.14 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -3.5 -1.97 5.98 2.37 -17.14 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0479 0.024 0.0116 0.0103 0.0529 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 148.1 157 300.7 317.7 19.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0479 0.024 0.0116 0.0103 0.0126 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.071 -0.0565 -0.0417 0.0491 -0.1242 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.69 6.93 7.15 9.87 13.31 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.46 3.1 -3.5 -1.97 5.98 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.56 2.84 -1.39
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.46
##   .. .. .. ..$ log.posterior.orig: num -1.79
##   .. .. .. ..$ mean              : num [1:55730] -2.81 -1.45 4.52 1.53 -16.69 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.81 -1.45 4.52 1.53 -16.69 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.04553 0.02306 0.0111 0.00994 0.05167 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 137.4 143.1 277.4 287.3 19.8 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.04553 0.02306 0.0111 0.00994 0.0121 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0695 -0.0553 -0.0408 0.048 -0.1225 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.65 6.9 7.12 9.89 13.33 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.28 3.36 -2.81 -1.45 4.52 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.57 2.87 -1.23
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.48
##   .. .. .. ..$ log.posterior.orig: num -1.81
##   .. .. .. ..$ mean              : num [1:55730] -3.42 -1.93 5.82 2.31 -16.88 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -3.42 -1.93 5.82 2.31 -16.88 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0501 0.0251 0.0121 0.0108 0.0525 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 142 150.5 288.5 304.5 19.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0501 0.0251 0.0121 0.0108 0.0132 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0708 -0.0566 -0.0421 0.0472 -0.1222 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.83 7.06 7.27 9.93 13.39 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.4 3.16 -3.42 -1.93 5.82 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.52 2.85 -1.39
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.5
##   .. .. .. ..$ log.posterior.orig: num -1.82
##   .. .. .. ..$ mean              : num [1:55730] -2.86 -1.48 4.63 1.57 -16.88 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.86 -1.48 4.63 1.57 -16.88 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0451 0.02284 0.01099 0.00984 0.05309 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 138.8 144.6 280.1 290.3 19.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0451 0.02284 0.01099 0.00984 0.01198 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0712 -0.0564 -0.0414 0.0504 -0.1266 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.56 6.81 7.03 9.85 13.27 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.32 3.31 -2.86 -1.48 4.63 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.53 2.88 -1.23
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.51
##   .. .. .. ..$ log.posterior.orig: num -1.84
##   .. .. .. ..$ mean              : num [1:55730] -3.49 -1.97 5.96 2.37 -17.07 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -3.49 -1.97 5.96 2.37 -17.07 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0496 0.0249 0.012 0.0107 0.0539 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 143 152 291 308 19 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0496 0.0249 0.012 0.0107 0.0131 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0725 -0.0578 -0.0428 0.0496 -0.1263 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.73 6.97 7.18 9.88 13.33 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.44 3.11 -3.49 -1.97 5.96 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.55 2.83 -1.38
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.57
##   .. .. .. ..$ log.posterior.orig: num -1.9
##   .. .. .. ..$ mean              : num [1:55730] -2.8 -1.45 4.5 1.53 -16.62 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.8 -1.45 4.5 1.53 -16.62 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0472 0.0239 0.0115 0.0103 0.0527 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 133.1 138.6 268.7 278.3 19.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0472 0.0239 0.0115 0.0103 0.0125 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.071 -0.0565 -0.0418 0.0485 -0.1246 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.7 6.94 7.16 9.91 13.36 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.27 3.37 -2.8 -1.45 4.5 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.55 2.86 -1.22
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.54
##   .. .. .. ..$ log.posterior.orig: num -1.87
##   .. .. .. ..$ mean              : num [1:55730] -3.41 -1.93 5.8 2.31 -16.81 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -3.41 -1.93 5.8 2.31 -16.81 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0519 0.0261 0.0125 0.0112 0.0536 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 137.5 145.8 279.4 295 19.1 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0519 0.0261 0.0125 0.0112 0.0137 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0723 -0.0579 -0.0431 0.0477 -0.1243 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.87 7.1 7.31 9.95 13.42 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.39 3.17 -3.41 -1.93 5.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. ..$ max.log.posterior: num -90139
##   ..$ nfunc                             : num 203
##   ..$ warnings                          : chr(0) 
##   ..$ opt.trace                         :List of 3
##   .. ..$ f    : Named num [1:40] 50669472 20177938 20133371 102151 102132 ...
##   .. .. ..- attr(*, "names")= chr [1:40] "iter1" "iter2" "iter3" "iter4" ...
##   .. ..$ nfunc: Named int [1:40] 1 5 9 10 13 15 19 19 20 23 ...
##   .. .. ..- attr(*, "names")= chr [1:40] "iter1" "iter2" "iter3" "iter4" ...
##   .. ..$ theta: num [1:40, 1:3] 4 3.16 3.16 -4.39 -4.39 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : chr [1:40] "iter1" "iter2" "iter3" "iter4" ...
##   .. .. .. ..$ : chr [1:3] "theta1" "theta2" "theta3"
##   ..$ theta.mode                        : num [1:3] -4.55 2.86 -1.31
##   ..$ linkfunctions                     :List of 2
##   .. ..$ names: chr "identity"
##   .. ..$ link : int [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ family                            : int [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##  $ dic                        :List of 14
##   ..$ dic              : num 174171
##   ..$ p.eff            : num 6089
##   ..$ mean.deviance    : num 168082
##   ..$ deviance.mean    : num 161994
##   ..$ dic.sat          : num 28839
##   ..$ mean.deviance.sat: num 22750
##   ..$ deviance.mean.sat: num 16664
##   ..$ family.dic       : num 174171
##   ..$ family.dic.sat   : num 28836
##   ..$ family.p.eff     : num 6089
##   ..$ family           : num [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ local.dic        : num [1:22764] 7.25 7.03 6.87 7.3 8.19 ...
##   ..$ local.dic.sat    : num [1:22764] 0.864 0.649 0.485 0.912 1.802 ...
##   ..$ local.p.eff      : num [1:22764] 0.194 0.174 0.161 0.344 0.172 ...
##  $ mode                       :List of 5
##   ..$ theta             : Named num [1:3] -4.55 2.86 -1.31
##   .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   ..$ x                 : num [1:134224] 6.69 6.93 7.15 9.88 13.33 ...
##   ..$ theta.tags        : chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   ..$ mode.status       : num 0
##   ..$ log.posterior.mode: num -90139
##  $ joint.hyper                :'data.frame': 15 obs. of  5 variables:
##   ..$ Log precision for the Gaussian observations : num [1:15] -4.55 -4.53 -4.56 -4.57 -4.53 ...
##   ..$ Theta1 for field                            : num [1:15] 2.86 2.84 2.87 2.84 2.88 ...
##   ..$ Theta2 for field                            : num [1:15] -1.31 -1.3 -1.31 -1.31 -1.31 ...
##   ..$ Log posterior density                       : num [1:15] -90151 -90152 -90152 -90152 -90152 ...
##   ..$ Total integration weight (log.dens included): num [1:15] 0.1737 0.0591 0.0591 0.0594 0.0587 ...
##  $ nhyper                     : int 3
##  $ version                    :List of 2
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##  $ ok                         : logi TRUE
##  $ cpu.intern                 : chr [1:16] "Wall-clock time used on [/tmp/RtmpPeDSsX/file2d27e239e510c3/Model.ini]" "Preparations             :   0.110 seconds" "Approx inference (stage1):   6.904 seconds" "Approx inference (stage2):   0.001 seconds" ...
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##   .. .. .. ..$ prior     : chr "loggamma"
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##   .. .. .. ..$ param     : num [1:2] 1e+00 1e-05
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##   .. .. .. .. ..$ hyperid           : num 65002
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##   .. .. .. .. ..$ to.theta          :function (x)  
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##   .. .. ..$ link   :List of 1
##   .. .. .. ..$ hyper: list()
##   ..$ linear   :List of 2
##   .. ..$ :List of 3
##   .. .. ..$ label     : chr "Intercept"
##   .. .. ..$ prior.mean: num 0
##   .. .. ..$ prior.prec: num 0.001
##   .. ..$ :List of 3
##   .. .. ..$ label     : chr "SpeedLimit"
##   .. .. ..$ prior.mean: num 0
##   .. .. ..$ prior.prec: num 0.001
##   ..$ random   :List of 3
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##   .. ..$ : NULL
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##   .. .. ..$ hyperid    : chr "field"
##   .. .. ..$ hyper      : NULL
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##   .. .. .. ..$ theta:List of 9
##   .. .. .. .. ..$ hyperid   : num 40001
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##   .. .. .. .. ..$ to.theta  :function (x, REPLACE.ME.ngroup)  
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##   .. .. .. .. ..$ from.theta:function (x, REPLACE.ME.ngroup)  
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##  $ .args                      :List of 30
##   ..$ formula          :Class 'formula'  language BRU.response ~ f(Intercept, model = BRU_Intercept_main_model, ngroup = 1,      nrep = 1, values = BRU_Intercept_v| __truncated__ ...
##   ..$ family           : chr "gaussian"
##   ..$ data             :List of 21
##   .. ..$ BRU.response             : num [1:22764] 0 1.61 3.22 14.48 1.61 ...
##   .. ..$ BRU.E                    : num [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.Ntrials              : num [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.weights              : num [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.scale                : num [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.offset               : num [1:22764] 0 0 0 0 0 0 0 0 0 0 ...
##   .. ..$ Intercept                : num [1:55730] 1 NA NA NA NA NA NA NA NA NA ...
##   .. ..$ Intercept.group          : int [1:55730] 1 NA NA NA NA NA NA NA NA NA ...
##   .. ..$ Intercept.repl           : int [1:55730] 1 NA NA NA NA NA NA NA NA NA ...
##   .. ..$ SpeedLimit               : num [1:55730] NA 1 NA NA NA NA NA NA NA NA ...
##   .. ..$ SpeedLimit.group         : int [1:55730] NA 1 NA NA NA NA NA NA NA NA ...
##   .. ..$ SpeedLimit.repl          : int [1:55730] NA 1 NA NA NA NA NA NA NA NA ...
##   .. ..$ field                    : int [1:55730] NA NA 1 2 3 4 5 6 7 8 ...
##   .. ..$ field.group              : int [1:55730] NA NA 1 1 1 1 1 1 1 1 ...
##   .. ..$ field.repl               : int [1:55730] NA NA 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU_Intercept_main_model : chr "linear"
##   .. ..$ BRU_Intercept_values     : num 1
##   .. ..$ BRU_SpeedLimit_main_model: chr "linear"
##   .. ..$ BRU_SpeedLimit_values    : num 1
##   .. ..$ BRU_field_main_model     :List of 21
##   .. .. ..$ f                   :List of 3
##   .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. ..$ n       : int 13932
##   .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_stat_int_model"
##   .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. ..$ n    : int 13932
##   .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. ..$ ints      :List of 5
##   .. .. .. .. .. .. ..$ n          : int 13932
##   .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. ..$ m_alpha    : int 1
##   .. .. .. .. .. .. ..$ graph_opt_i: int [1:29068] 0 0 0 0 1 1 1 1 1 2 ...
##   .. .. .. .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. ..$ doubles   :List of 4
##   .. .. .. .. .. .. ..$ matrices_less   : num [1:58136] 0.0534 0 0 0 0.0776 ...
##   .. .. .. .. .. .. ..$ theta.prior.mean: num [1:2] 0 1.35
##   .. .. .. .. .. .. ..$ start.theta     : num [1:2] 0 1.35
##   .. .. .. .. .. .. ..$ nu              : num 0.5
##   .. .. .. .. .. ..$ characters:List of 4
##   .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_stat_int_model"
##   .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. ..$ parameterization : chr "matern"
##   .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. ..$ matrices  :List of 1
##   .. .. .. .. .. .. ..$ theta.prior.prec: num [1:6] 2 2 0.1 0 0 0.1
##   .. .. .. .. .. ..$ smatrices : list()
##   .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. ..$ cgeneric_type       : chr "int_alpha"
##   .. .. ..$ nu                  : num 0.5
##   .. .. ..$ theta.prior.mean    : num [1:2] 0 1.35
##   .. .. ..$ prior.nu            :List of 4
##   .. .. .. ..$ loglocation: num -5e-06
##   .. .. .. ..$ mean       : num 1
##   .. .. .. ..$ prec       : num 3
##   .. .. .. ..$ logscale   : num 1
##   .. .. ..$ theta.prior.prec    : num [1:2, 1:2] 0.1 0 0 0.1
##   .. .. ..$ start.nu            : num 0.5
##   .. .. ..$ integer.nu          : logi TRUE
##   .. .. ..$ start.theta         : num [1:2] 0 1.35
##   .. .. ..$ stationary          : logi TRUE
##   .. .. ..$ rspde.order         : num 2
##   .. .. ..$ dim                 : num 1
##   .. .. ..$ est_nu              : logi FALSE
##   .. .. ..$ nu.upper.bound      : num 2
##   .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. ..$ debug               : logi FALSE
##   .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. ..$ fem_mesh            :List of 4
##   .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
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##   .. .. .. .. .. .. ..$ : NULL
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##   .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
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##   .. .. .. .. .. .. ..$ : NULL
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##   .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
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##   .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
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##   .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
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##   .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. ..$ parameterization    : chr "matern"
##   .. .. ..$ n.spde              : int 13932
##   .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. ..$ BRU_field_values         : int [1:13932] 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ quantiles        : num [1:3] 0.025 0.5 0.975
##   ..$ E                : num [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ offset           : num [1:22764] 0 0 0 0 0 0 0 0 0 0 ...
##   ..$ scale            : num [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ weights          : num [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ Ntrials          : num [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ verbose          : logi FALSE
##   ..$ control.compute  :List of 18
##   .. ..$ openmp.strategy           : chr "default"
##   .. ..$ hyperpar                  : logi TRUE
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##   .. .. ..$ num.level.sets  : num -1
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##   .. .. ..$ epsilon         : num 0.005
##   .. .. ..$ prior.diagonal  : num 1e-04
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##   ..$ control.predictor:List of 12
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##   .. .. .. ..$ hyperid   : num 53001
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##   .. .. .. ..$ output.name       : chr "beta[2] for lp_scale"
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##   .. .. .. ..$ output.name.intern: chr "beta[3] for lp_scale"
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##   .. .. ..$ theta4  :List of 11
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##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
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##   .. .. .. ..$ short.name        : chr "b4"
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##   .. .. .. ..$ output.name       : chr "beta[4] for lp_scale"
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##   .. .. .. ..$ output.name.intern: chr "beta[4] for lp_scale"
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##   .. .. .. ..$ prior             : chr "normal"
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##   .. .. ..$ theta5  :List of 11
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##   .. .. .. ..$ output.name       : chr "beta[5] for lp_scale"
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##   .. .. .. ..$ prior             : chr "normal"
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##   .. .. .. ..$ short.name        : chr "b6"
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##   .. .. .. ..$ output.name       : chr "beta[7] for lp_scale"
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##   .. .. .. ..$ output.name.intern: chr "beta[7] for lp_scale"
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##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta10 :List of 11
##   .. .. .. ..$ hyperid           : num 103010
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta10"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b10"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[10] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[10] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta11 :List of 11
##   .. .. .. ..$ hyperid           : num 103011
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta11"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b11"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[11] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[11] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta12 :List of 11
##   .. .. .. ..$ hyperid           : num 103012
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta12"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b12"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[12] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[12] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta13 :List of 11
##   .. .. .. ..$ hyperid           : num 103013
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta13"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b13"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[13] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[13] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta14 :List of 11
##   .. .. .. ..$ hyperid           : num 103014
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta14"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b14"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[14] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[14] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta15 :List of 11
##   .. .. .. ..$ hyperid           : num 103015
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta15"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b15"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[15] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[15] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta16 :List of 11
##   .. .. .. ..$ hyperid           : num 103016
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta16"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b16"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[16] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[16] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta17 :List of 11
##   .. .. .. ..$ hyperid           : num 103017
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta17"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b17"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[17] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[17] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta18 :List of 11
##   .. .. .. ..$ hyperid           : num 103018
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta18"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b18"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[18] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[18] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta19 :List of 11
##   .. .. .. ..$ hyperid           : num 103019
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta19"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b19"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[19] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[19] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta20 :List of 11
##   .. .. .. ..$ hyperid           : num 103020
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta20"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b20"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[20] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[20] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta21 :List of 11
##   .. .. .. ..$ hyperid           : num 103021
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta21"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b21"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[21] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[21] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta22 :List of 11
##   .. .. .. ..$ hyperid           : num 103022
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta22"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b22"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[22] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[22] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta23 :List of 11
##   .. .. .. ..$ hyperid           : num 103023
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta23"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b23"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[23] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[23] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta24 :List of 11
##   .. .. .. ..$ hyperid           : num 103024
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta24"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b24"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[24] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[24] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta25 :List of 11
##   .. .. .. ..$ hyperid           : num 103025
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta25"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b25"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[25] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[25] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta26 :List of 11
##   .. .. .. ..$ hyperid           : num 103026
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta26"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b26"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[26] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[26] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta27 :List of 11
##   .. .. .. ..$ hyperid           : num 103027
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta27"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b27"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[27] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[27] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta28 :List of 11
##   .. .. .. ..$ hyperid           : num 103028
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta28"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b28"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[28] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[28] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta29 :List of 11
##   .. .. .. ..$ hyperid           : num 103029
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta29"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b29"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[29] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[29] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta30 :List of 11
##   .. .. .. ..$ hyperid           : num 103030
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta30"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b30"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[30] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[30] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta31 :List of 11
##   .. .. .. ..$ hyperid           : num 103031
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta31"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b31"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[31] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[31] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta32 :List of 11
##   .. .. .. ..$ hyperid           : num 103032
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta32"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b32"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[32] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[32] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta33 :List of 11
##   .. .. .. ..$ hyperid           : num 103033
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta33"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b33"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[33] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[33] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta34 :List of 11
##   .. .. .. ..$ hyperid           : num 103034
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta34"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b34"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[34] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[34] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta35 :List of 11
##   .. .. .. ..$ hyperid           : num 103035
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta35"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b35"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[35] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[35] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta36 :List of 11
##   .. .. .. ..$ hyperid           : num 103036
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta36"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b36"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[36] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[36] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta37 :List of 11
##   .. .. .. ..$ hyperid           : num 103037
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta37"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b37"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[37] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[37] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta38 :List of 11
##   .. .. .. ..$ hyperid           : num 103038
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta38"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b38"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[38] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[38] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta39 :List of 11
##   .. .. .. ..$ hyperid           : num 103039
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta39"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b39"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[39] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[39] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta40 :List of 11
##   .. .. .. ..$ hyperid           : num 103040
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta40"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b40"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[40] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[40] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta41 :List of 11
##   .. .. .. ..$ hyperid           : num 103041
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta41"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b41"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[41] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[41] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta42 :List of 11
##   .. .. .. ..$ hyperid           : num 103042
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta42"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b42"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[42] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[42] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta43 :List of 11
##   .. .. .. ..$ hyperid           : num 103043
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta43"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b43"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[43] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[43] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta44 :List of 11
##   .. .. .. ..$ hyperid           : num 103044
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta44"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b44"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[44] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[44] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta45 :List of 11
##   .. .. .. ..$ hyperid           : num 103045
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta45"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b45"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[45] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[45] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta46 :List of 11
##   .. .. .. ..$ hyperid           : num 103046
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta46"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b46"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[46] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[46] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta47 :List of 11
##   .. .. .. ..$ hyperid           : num 103047
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta47"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b47"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[47] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[47] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta48 :List of 11
##   .. .. .. ..$ hyperid           : num 103048
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta48"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b48"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[48] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[48] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta49 :List of 11
##   .. .. .. ..$ hyperid           : num 103049
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta49"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b49"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[49] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[49] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta50 :List of 11
##   .. .. .. ..$ hyperid           : num 103050
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta50"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b50"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[50] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[50] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta51 :List of 11
##   .. .. .. ..$ hyperid           : num 103051
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta51"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b51"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[51] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[51] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta52 :List of 11
##   .. .. .. ..$ hyperid           : num 103052
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta52"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b52"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[52] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[52] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta53 :List of 11
##   .. .. .. ..$ hyperid           : num 103053
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta53"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b53"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[53] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[53] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta54 :List of 11
##   .. .. .. ..$ hyperid           : num 103054
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta54"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b54"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[54] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[54] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta55 :List of 11
##   .. .. .. ..$ hyperid           : num 103055
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta55"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b55"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[55] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[55] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta56 :List of 11
##   .. .. .. ..$ hyperid           : num 103056
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta56"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b56"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[56] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[56] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta57 :List of 11
##   .. .. .. ..$ hyperid           : num 103057
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta57"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b57"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[57] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[57] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta58 :List of 11
##   .. .. .. ..$ hyperid           : num 103058
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta58"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b58"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[58] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[58] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta59 :List of 11
##   .. .. .. ..$ hyperid           : num 103059
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta59"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b59"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[59] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[59] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta60 :List of 11
##   .. .. .. ..$ hyperid           : num 103060
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta60"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b60"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[60] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[60] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta61 :List of 11
##   .. .. .. ..$ hyperid           : num 103061
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta61"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b61"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[61] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[61] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta62 :List of 11
##   .. .. .. ..$ hyperid           : num 103062
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta62"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b62"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[62] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[62] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta63 :List of 11
##   .. .. .. ..$ hyperid           : num 103063
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta63"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b63"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[63] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[63] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta64 :List of 11
##   .. .. .. ..$ hyperid           : num 103064
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta64"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b64"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[64] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[64] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta65 :List of 11
##   .. .. .. ..$ hyperid           : num 103065
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta65"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b65"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[65] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[65] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta66 :List of 11
##   .. .. .. ..$ hyperid           : num 103066
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta66"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b66"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[66] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[66] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta67 :List of 11
##   .. .. .. ..$ hyperid           : num 103067
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta67"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b67"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[67] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[67] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta68 :List of 11
##   .. .. .. ..$ hyperid           : num 103068
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta68"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b68"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[68] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[68] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta69 :List of 11
##   .. .. .. ..$ hyperid           : num 103069
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta69"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b69"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[69] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[69] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta70 :List of 11
##   .. .. .. ..$ hyperid           : num 103070
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta70"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b70"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[70] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[70] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta71 :List of 11
##   .. .. .. ..$ hyperid           : num 103071
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta71"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b71"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[71] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[71] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta72 :List of 11
##   .. .. .. ..$ hyperid           : num 103072
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta72"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b72"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[72] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[72] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta73 :List of 11
##   .. .. .. ..$ hyperid           : num 103073
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta73"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b73"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[73] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[73] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta74 :List of 11
##   .. .. .. ..$ hyperid           : num 103074
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta74"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b74"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[74] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[74] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta75 :List of 11
##   .. .. .. ..$ hyperid           : num 103075
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta75"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b75"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[75] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[75] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta76 :List of 11
##   .. .. .. ..$ hyperid           : num 103076
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta76"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b76"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[76] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[76] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta77 :List of 11
##   .. .. .. ..$ hyperid           : num 103077
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta77"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b77"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[77] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[77] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta78 :List of 11
##   .. .. .. ..$ hyperid           : num 103078
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta78"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b78"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[78] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[78] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta79 :List of 11
##   .. .. .. ..$ hyperid           : num 103079
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta79"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b79"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[79] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[79] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta80 :List of 11
##   .. .. .. ..$ hyperid           : num 103080
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta80"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b80"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[80] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[80] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta81 :List of 11
##   .. .. .. ..$ hyperid           : num 103081
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta81"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b81"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[81] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[81] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta82 :List of 11
##   .. .. .. ..$ hyperid           : num 103082
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta82"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b82"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[82] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[82] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta83 :List of 11
##   .. .. .. ..$ hyperid           : num 103083
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta83"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b83"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[83] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[83] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta84 :List of 11
##   .. .. .. ..$ hyperid           : num 103084
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta84"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b84"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[84] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[84] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta85 :List of 11
##   .. .. .. ..$ hyperid           : num 103085
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta85"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b85"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[85] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[85] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta86 :List of 11
##   .. .. .. ..$ hyperid           : num 103086
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta86"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b86"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[86] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[86] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta87 :List of 11
##   .. .. .. ..$ hyperid           : num 103087
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta87"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b87"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[87] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[87] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta88 :List of 11
##   .. .. .. ..$ hyperid           : num 103088
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta88"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b88"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[88] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[88] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta89 :List of 11
##   .. .. .. ..$ hyperid           : num 103089
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta89"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b89"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[89] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[89] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta90 :List of 11
##   .. .. .. ..$ hyperid           : num 103090
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta90"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b90"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[90] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[90] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta91 :List of 11
##   .. .. .. ..$ hyperid           : num 103091
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta91"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b91"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[91] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[91] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
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##  $ call                       : chr [1:14] "inla.core(formula = formula, family = family, contrasts = contrasts, " "    data = data, quantiles = quantiles, E = E, offset = offset, " "    scale = scale, weights = weights, Ntrials = Ntrials, strata = strata, " "    lp.scale = lp.scale, link.covariates = link.covariates, verbose = verbose, " ...
##  $ model.matrix               :Formal class 'dsparseModelMatrix' [package "MatrixModels"] with 8 slots
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##   .. ..$ log      : chr [1:7] "2024-05-29 12:03:00.53051: iinla: Evaluate component inputs" "2024-05-29 12:03:00.583988: iinla: Evaluate component linearisations" "2024-05-29 12:03:07.467634: iinla: Evaluate component simplifications" "2024-05-29 12:03:14.175653: iinla: Evaluate predictor linearisation" ...
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##   .. .. ..- attr(*, "units")= chr "secs"
##  $ bru_timings                :'data.frame': 3 obs. of  5 variables:
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##   ..$ Iteration: num [1:3] 0 1 1
##   ..$ Time     : 'difftime' num [1:3] 0.0630000000000024 48.462 27.746
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##   ..$ Elapsed  : 'difftime' num [1:3] 0.0630000000000024 48.578 10.92
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##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "iid"
##   .. .. .. .. ..$ type          : chr "iid"
##   .. .. .. .. ..$ n             : num 1
##   .. .. .. .. ..$ values        : int 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ weights     : NULL
##   .. .. .. ..$ copy        : NULL
##   .. .. .. ..$ marginal    : NULL
##   .. .. .. ..$ env         :<environment: R_GlobalEnv> 
##   .. .. .. ..$ env_extra   :<environment: 0x62c380b4ba68> 
##   .. .. .. ..$ fcall       : language "f"(Intercept, model = BRU_Intercept_main_model, ngroup = 1, nrep = 1,      values = BRU_Intercept_values)
##   .. .. .. ..$ mapper      :List of 6
##   .. .. .. .. ..$ mappers  :List of 2
##   .. .. .. .. .. ..$ mapper:List of 9
##   .. .. .. .. .. .. ..$ mappers          :List of 3
##   .. .. .. .. .. .. .. ..$ main     : list()
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_linear" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ group    :List of 1
##   .. .. .. .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ replicate:List of 1
##   .. .. .. .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. .. .. ..$ n_multi          :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int 1
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: num 1
##   .. .. .. .. .. .. ..$ n_inla_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int 1
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: num 1
##   .. .. .. .. .. .. ..$ values_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 1
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int 1
##   .. .. .. .. .. .. ..$ values_inla_multi:List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 1
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int 1
##   .. .. .. .. .. .. ..$ is_linear_multi  :List of 3
##   .. .. .. .. .. .. .. ..$ main     : logi TRUE
##   .. .. .. .. .. .. .. ..$ group    : logi TRUE
##   .. .. .. .. .. .. .. ..$ replicate: logi TRUE
##   .. .. .. .. .. .. ..$ n                : num 1
##   .. .. .. .. .. .. ..$ n_inla           : num 1
##   .. .. .. .. .. .. ..$ is_linear        : logi TRUE
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_multi" "bru_mapper" "list"
##   .. .. .. .. .. ..$ scale : list()
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_scale" "bru_mapper" "list"
##   .. .. .. .. ..$          : Named logi [1:2] TRUE TRUE
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ is_linear: logi TRUE
##   .. .. .. .. ..$ n_multi  : Named int [1:2] 1 NA
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ n        : num 1
##   .. .. .. .. ..$ names    : chr [1:2] "mapper" "scale"
##   .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_pipe" "bru_mapper" "list"
##   .. .. .. ..- attr(*, "class")= chr [1:2] "component" "list"
##   .. .. ..$ SpeedLimit:List of 12
##   .. .. .. ..$ label       : chr "SpeedLimit"
##   .. .. .. ..$ inla.formula:Class 'formula'  language ~. + f(SpeedLimit, model = BRU_SpeedLimit_main_model, ngroup = 1, nrep = 1,      values = BRU_SpeedLimit_values)
##   .. .. .. .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. .. .. ..$ main        :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : symbol SpeedLimit
##   .. .. .. .. .. ..$ label   : chr "SpeedLimit"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        : list()
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_linear" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "linear"
##   .. .. .. .. ..$ type          : chr "linear"
##   .. .. .. .. ..$ n             : int 1
##   .. .. .. .. ..$ values        : num 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ group       :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : int 1
##   .. .. .. .. .. ..$ label   : chr "SpeedLimit.group"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "exchangeable"
##   .. .. .. .. ..$ type          : chr "exchangeable"
##   .. .. .. .. ..$ n             : num 1
##   .. .. .. .. ..$ values        : int 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ replicate   :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : int 1
##   .. .. .. .. .. ..$ label   : chr "SpeedLimit.repl"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "iid"
##   .. .. .. .. ..$ type          : chr "iid"
##   .. .. .. .. ..$ n             : num 1
##   .. .. .. .. ..$ values        : int 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ weights     : NULL
##   .. .. .. ..$ copy        : NULL
##   .. .. .. ..$ marginal    : NULL
##   .. .. .. ..$ env         :<environment: R_GlobalEnv> 
##   .. .. .. ..$ env_extra   :<environment: 0x62c380b34bb0> 
##   .. .. .. ..$ fcall       : language "f"(SpeedLimit, model = BRU_SpeedLimit_main_model, ngroup = 1, nrep = 1,      values = BRU_SpeedLimit_values)
##   .. .. .. ..$ mapper      :List of 6
##   .. .. .. .. ..$ mappers  :List of 2
##   .. .. .. .. .. ..$ mapper:List of 9
##   .. .. .. .. .. .. ..$ mappers          :List of 3
##   .. .. .. .. .. .. .. ..$ main     : list()
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_linear" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ group    :List of 1
##   .. .. .. .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ replicate:List of 1
##   .. .. .. .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. .. .. ..$ n_multi          :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int 1
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: num 1
##   .. .. .. .. .. .. ..$ n_inla_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int 1
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: num 1
##   .. .. .. .. .. .. ..$ values_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 1
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int 1
##   .. .. .. .. .. .. ..$ values_inla_multi:List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 1
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int 1
##   .. .. .. .. .. .. ..$ is_linear_multi  :List of 3
##   .. .. .. .. .. .. .. ..$ main     : logi TRUE
##   .. .. .. .. .. .. .. ..$ group    : logi TRUE
##   .. .. .. .. .. .. .. ..$ replicate: logi TRUE
##   .. .. .. .. .. .. ..$ n                : num 1
##   .. .. .. .. .. .. ..$ n_inla           : num 1
##   .. .. .. .. .. .. ..$ is_linear        : logi TRUE
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_multi" "bru_mapper" "list"
##   .. .. .. .. .. ..$ scale : list()
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_scale" "bru_mapper" "list"
##   .. .. .. .. ..$          : Named logi [1:2] TRUE TRUE
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ is_linear: logi TRUE
##   .. .. .. .. ..$ n_multi  : Named int [1:2] 1 NA
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ n        : num 1
##   .. .. .. .. ..$ names    : chr [1:2] "mapper" "scale"
##   .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_pipe" "bru_mapper" "list"
##   .. .. .. ..- attr(*, "class")= chr [1:2] "component" "list"
##   .. .. ..$ field     :List of 12
##   .. .. .. ..$ label       : chr "field"
##   .. .. .. ..$ inla.formula:Class 'formula'  language ~. + f(field, model = BRU_field_main_model, replicate = field.repl, ngroup = 1,      nrep = 4L, values = BRU_field_values)
##   .. .. .. .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. .. .. ..$ main        :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : symbol loc
##   .. .. .. .. .. ..$ label   : chr "field"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ model:List of 21
##   .. .. .. .. .. .. ..$ f                   :List of 3
##   .. .. .. .. .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. .. .. .. .. ..$ n       : int 13932
##   .. .. .. .. .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_stat_int_model"
##   .. .. .. .. .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. ..$ n    : int 13932
##   .. .. .. .. .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. .. .. .. .. ..$ ints      :List of 5
##   .. .. .. .. .. .. .. .. .. .. ..$ n          : int 13932
##   .. .. .. .. .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. .. .. .. .. ..$ m_alpha    : int 1
##   .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_i: int [1:29068] 0 0 0 0 1 1 1 1 1 2 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. ..$ doubles   :List of 4
##   .. .. .. .. .. .. .. .. .. .. ..$ matrices_less   : num [1:58136] 0.0534 0 0 0 0.0776 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean: num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. .. ..$ start.theta     : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. .. ..$ nu              : num 0.5
##   .. .. .. .. .. .. .. .. .. ..$ characters:List of 4
##   .. .. .. .. .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_stat_int_model"
##   .. .. .. .. .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. .. ..$ parameterization : chr "matern"
##   .. .. .. .. .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. .. .. .. .. ..$ matrices  :List of 1
##   .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec: num [1:6] 2 2 0.1 0 0 0.1
##   .. .. .. .. .. .. .. .. .. ..$ smatrices : list()
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. .. .. .. .. ..$ cgeneric_type       : chr "int_alpha"
##   .. .. .. .. .. .. ..$ nu                  : num 0.5
##   .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:2] 0 1.35
##   .. .. .. .. .. .. ..$ prior.nu            :List of 4
##   .. .. .. .. .. .. .. ..$ loglocation: num -5e-06
##   .. .. .. .. .. .. .. ..$ mean       : num 1
##   .. .. .. .. .. .. .. ..$ prec       : num 3
##   .. .. .. .. .. .. .. ..$ logscale   : num 1
##   .. .. .. .. .. .. ..$ theta.prior.prec    : num [1:2, 1:2] 0.1 0 0 0.1
##   .. .. .. .. .. .. ..$ start.nu            : num 0.5
##   .. .. .. .. .. .. ..$ integer.nu          : logi TRUE
##   .. .. .. .. .. .. ..$ start.theta         : num [1:2] 0 1.35
##   .. .. .. .. .. .. ..$ stationary          : logi TRUE
##   .. .. .. .. .. .. ..$ rspde.order         : num 2
##   .. .. .. .. .. .. ..$ dim                 : num 1
##   .. .. .. .. .. .. ..$ est_nu              : logi FALSE
##   .. .. .. .. .. .. ..$ nu.upper.bound      : num 2
##   .. .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. .. ..$ fem_mesh            :List of 4
##   .. .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_inla_rspde" "bru_mapper" "list"
##   .. .. .. .. ..$ model         :List of 21
##   .. .. .. .. .. ..$ f                   :List of 3
##   .. .. .. .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. .. .. .. ..$ n       : int 13932
##   .. .. .. .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_stat_int_model"
##   .. .. .. .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. ..$ n    : int 13932
##   .. .. .. .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. .. .. .. ..$ ints      :List of 5
##   .. .. .. .. .. .. .. .. .. ..$ n          : int 13932
##   .. .. .. .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. .. .. .. ..$ m_alpha    : int 1
##   .. .. .. .. .. .. .. .. .. ..$ graph_opt_i: int [1:29068] 0 0 0 0 1 1 1 1 1 2 ...
##   .. .. .. .. .. .. .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. ..$ doubles   :List of 4
##   .. .. .. .. .. .. .. .. .. ..$ matrices_less   : num [1:58136] 0.0534 0 0 0 0.0776 ...
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean: num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. ..$ start.theta     : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. ..$ nu              : num 0.5
##   .. .. .. .. .. .. .. .. ..$ characters:List of 4
##   .. .. .. .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_stat_int_model"
##   .. .. .. .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. ..$ parameterization : chr "matern"
##   .. .. .. .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. .. .. .. ..$ matrices  :List of 1
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec: num [1:6] 2 2 0.1 0 0 0.1
##   .. .. .. .. .. .. .. .. ..$ smatrices : list()
##   .. .. .. .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. .. .. .. ..$ cgeneric_type       : chr "int_alpha"
##   .. .. .. .. .. ..$ nu                  : num 0.5
##   .. .. .. .. .. ..$ theta.prior.mean    : num [1:2] 0 1.35
##   .. .. .. .. .. ..$ prior.nu            :List of 4
##   .. .. .. .. .. .. ..$ loglocation: num -5e-06
##   .. .. .. .. .. .. ..$ mean       : num 1
##   .. .. .. .. .. .. ..$ prec       : num 3
##   .. .. .. .. .. .. ..$ logscale   : num 1
##   .. .. .. .. .. ..$ theta.prior.prec    : num [1:2, 1:2] 0.1 0 0 0.1
##   .. .. .. .. .. ..$ start.nu            : num 0.5
##   .. .. .. .. .. ..$ integer.nu          : logi TRUE
##   .. .. .. .. .. ..$ start.theta         : num [1:2] 0 1.35
##   .. .. .. .. .. ..$ stationary          : logi TRUE
##   .. .. .. .. .. ..$ rspde.order         : num 2
##   .. .. .. .. .. ..$ dim                 : num 1
##   .. .. .. .. .. ..$ est_nu              : logi FALSE
##   .. .. .. .. .. ..$ nu.upper.bound      : num 2
##   .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. ..$ fem_mesh            :List of 4
##   .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. ..$ type          : chr "cgeneric"
##   .. .. .. .. ..$ n             : num 13932
##   .. .. .. .. ..$ values        : int [1:13932] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ group       :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : int 1
##   .. .. .. .. .. ..$ label   : chr "field.group"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "exchangeable"
##   .. .. .. .. ..$ type          : chr "exchangeable"
##   .. .. .. .. ..$ n             : num 1
##   .. .. .. .. ..$ values        : int 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ replicate   :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : language data_rspde_bru_stat[["repl"]]
##   .. .. .. .. .. ..$ label   : chr "field.repl"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 4
##   .. .. .. .. .. ..$ levels        : chr [1:4] "1" "2" "3" "4"
##   .. .. .. .. .. ..$ factor_mapping: chr "full"
##   .. .. .. .. .. ..$ indexed       : logi TRUE
##   .. .. .. .. .. ..$ n             : int 4
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:4] "bru_mapper_factor_index" "bru_mapper_factor" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "iid"
##   .. .. .. .. ..$ type          : chr "iid"
##   .. .. .. .. ..$ n             : int 4
##   .. .. .. .. ..$ values        : int [1:4] 1 2 3 4
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ weights     : NULL
##   .. .. .. ..$ copy        : NULL
##   .. .. .. ..$ marginal    : NULL
##   .. .. .. ..$ env         :<environment: R_GlobalEnv> 
##   .. .. .. ..$ env_extra   :<environment: 0x62c380b21cc0> 
##   .. .. .. ..$ fcall       : language "f"(field, model = BRU_field_main_model, replicate = field.repl, ngroup = 1,      nrep = 4L, values = BRU_field_values)
##   .. .. .. ..$ mapper      :List of 6
##   .. .. .. .. ..$ mappers  :List of 2
##   .. .. .. .. .. ..$ mapper:List of 9
##   .. .. .. .. .. .. ..$ mappers          :List of 3
##   .. .. .. .. .. .. .. ..$ main     :List of 1
##   .. .. .. .. .. .. .. .. ..$ model:List of 21
##   .. .. .. .. .. .. .. .. .. ..$ f                   :List of 3
##   .. .. .. .. .. .. .. .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. .. .. .. .. .. .. .. ..$ n       : int 13932
##   .. .. .. .. .. .. .. .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. .. .. .. .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_stat_int_model"
##   .. .. .. .. .. .. .. .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. .. .. ..$ n    : int 13932
##   .. .. .. .. .. .. .. .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. .. .. .. .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ ints      :List of 5
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ n          : int 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ m_alpha    : int 1
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_i: int [1:29068] 0 0 0 0 1 1 1 1 1 2 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ doubles   :List of 4
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ matrices_less   : num [1:58136] 0.0534 0 0 0 0.0776 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean: num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ start.theta     : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ nu              : num 0.5
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ characters:List of 4
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_stat_int_model"
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ parameterization : chr "matern"
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ matrices  :List of 1
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec: num [1:6] 2 2 0.1 0 0 0.1
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ smatrices : list()
##   .. .. .. .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. .. .. .. .. .. .. .. ..$ cgeneric_type       : chr "int_alpha"
##   .. .. .. .. .. .. .. .. .. ..$ nu                  : num 0.5
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu            :List of 4
##   .. .. .. .. .. .. .. .. .. .. ..$ loglocation: num -5e-06
##   .. .. .. .. .. .. .. .. .. .. ..$ mean       : num 1
##   .. .. .. .. .. .. .. .. .. .. ..$ prec       : num 3
##   .. .. .. .. .. .. .. .. .. .. ..$ logscale   : num 1
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec    : num [1:2, 1:2] 0.1 0 0 0.1
##   .. .. .. .. .. .. .. .. .. ..$ start.nu            : num 0.5
##   .. .. .. .. .. .. .. .. .. ..$ integer.nu          : logi TRUE
##   .. .. .. .. .. .. .. .. .. ..$ start.theta         : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. ..$ stationary          : logi TRUE
##   .. .. .. .. .. .. .. .. .. ..$ rspde.order         : num 2
##   .. .. .. .. .. .. .. .. .. ..$ dim                 : num 1
##   .. .. .. .. .. .. .. .. .. ..$ est_nu              : logi FALSE
##   .. .. .. .. .. .. .. .. .. ..$ nu.upper.bound      : num 2
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. .. .. .. .. ..$ fem_mesh            :List of 4
##   .. .. .. .. .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_inla_rspde" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ group    :List of 1
##   .. .. .. .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ replicate:List of 4
##   .. .. .. .. .. .. .. .. ..$ levels        : chr [1:4] "1" "2" "3" "4"
##   .. .. .. .. .. .. .. .. ..$ factor_mapping: chr "full"
##   .. .. .. .. .. .. .. .. ..$ indexed       : logi TRUE
##   .. .. .. .. .. .. .. .. ..$ n             : int 4
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:4] "bru_mapper_factor_index" "bru_mapper_factor" "bru_mapper" "list"
##   .. .. .. .. .. .. ..$ n_multi          :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 13932
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: int 4
##   .. .. .. .. .. .. ..$ n_inla_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 13932
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: int 4
##   .. .. .. .. .. .. ..$ values_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int [1:13932] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int [1:4] 1 2 3 4
##   .. .. .. .. .. .. ..$ values_inla_multi:List of 3
##   .. .. .. .. .. .. .. ..$ main     : int [1:13932] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int [1:4] 1 2 3 4
##   .. .. .. .. .. .. ..$ is_linear_multi  :List of 3
##   .. .. .. .. .. .. .. ..$ main     : logi TRUE
##   .. .. .. .. .. .. .. ..$ group    : logi TRUE
##   .. .. .. .. .. .. .. ..$ replicate: logi TRUE
##   .. .. .. .. .. .. ..$ n                : num 55728
##   .. .. .. .. .. .. ..$ n_inla           : num 55728
##   .. .. .. .. .. .. ..$ is_linear        : logi TRUE
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_multi" "bru_mapper" "list"
##   .. .. .. .. .. ..$ scale : list()
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_scale" "bru_mapper" "list"
##   .. .. .. .. ..$          : Named logi [1:2] TRUE TRUE
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ is_linear: logi TRUE
##   .. .. .. .. ..$ n_multi  : Named int [1:2] 55728 NA
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ n        : num 55728
##   .. .. .. .. ..$ names    : chr [1:2] "mapper" "scale"
##   .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_pipe" "bru_mapper" "list"
##   .. .. .. ..- attr(*, "class")= chr [1:2] "component" "list"
##   .. .. ..- attr(*, "class")= chr [1:2] "component_list" "list"
##   .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. ..$ formula:Class 'formula'  language BRU_response ~ f(Intercept, model = BRU_Intercept_main_model, ngroup = 1,      nrep = 1, values = BRU_Intercept_v| __truncated__ ...
##   .. .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. ..- attr(*, "class")= chr [1:2] "bru_model" "list"
##   ..$ lhoods         :List of 1
##   .. ..$ :List of 17
##   .. .. ..$ family        : chr "gaussian"
##   .. .. ..$ formula       :Class 'formula'  language speed ~ .
##   .. .. .. .. ..- attr(*, ".Environment")=<environment: 0x62c380d7a290> 
##   .. .. ..$ response_data :List of 4
##   .. .. .. ..$ BRU_response: num [1:22764] 0 1.61 3.22 14.48 1.61 ...
##   .. .. .. ..$ BRU_E       : num 1
##   .. .. .. ..$ BRU_Ntrials : num 1
##   .. .. .. ..$ BRU_scale   : num 1
##   .. .. ..$ data          :List of 8
##   .. .. .. ..$ speed            : num [1:22764] 0 1.61 3.22 14.48 1.61 ...
##   .. .. .. ..$ SpeedLimit       : num [1:22764] -1.2 -1.2 -1.2 -1.2 -1.2 ...
##   .. .. .. ..$ .coord_x         : num [1:22764] -122 -122 -122 -122 -122 ...
##   .. .. .. ..$ .coord_y         : num [1:22764] 37.8 37.8 37.8 37.8 37.8 ...
##   .. .. .. ..$ .edge_number     : num [1:22764] 3 3 3 3 3 3 3 6 6 6 ...
##   .. .. .. ..$ .distance_on_edge: num [1:22764] 0.0148 0.0489 0.079 0.4594 0.7623 ...
##   .. .. .. ..$ .group           : chr [1:22764] "1" "1" "1" "1" ...
##   .. .. .. ..$ loc              : num [1:22764, 1:2] 3 3 3 3 3 3 3 6 6 6 ...
##   .. .. .. ..- attr(*, "class")= chr [1:2] "metric_graph_data" "list"
##   .. .. ..$ E             : num 1
##   .. .. ..$ Ntrials       : num 1
##   .. .. ..$ weights       : num 1
##   .. .. ..$ scale         : num 1
##   .. .. ..$ samplers      : NULL
##   .. .. ..$ linear        : logi TRUE
##   .. .. ..$ expr          : NULL
##   .. .. ..$ response      : chr "BRU_response"
##   .. .. ..$ inla.family   : chr "gaussian"
##   .. .. ..$ domain        : NULL
##   .. .. ..$ used          :List of 2
##   .. .. .. ..$ effect: chr [1:3] "Intercept" "SpeedLimit" "field"
##   .. .. .. ..$ latent: chr(0) 
##   .. .. .. ..- attr(*, "class")= chr "bru_used"
##   .. .. ..$ allow_combine : logi TRUE
##   .. .. ..$ control.family: NULL
##   .. .. ..- attr(*, "class")= chr [1:2] "bru_like" "list"
##   .. ..- attr(*, "class")= chr [1:2] "bru_like_list" "list"
##   ..$ options        :List of 14
##   .. ..$ bru_verbose      : num 0
##   .. ..$ bru_verbose_store: num Inf
##   .. ..$ bru_max_iter     : num 1
##   .. ..$ bru_run          : logi TRUE
##   .. ..$ bru_int_args     :List of 3
##   .. .. ..$ method: chr "stable"
##   .. .. ..$ nsub1 : num 30
##   .. .. ..$ nsub2 : num 9
##   .. ..$ bru_method       :List of 6
##   .. .. ..$ taylor         : chr "pandemic"
##   .. .. ..$ search         : chr "all"
##   .. .. ..$ factor         : num 1.62
##   .. .. ..$ rel_tol        : num 0.1
##   .. .. ..$ max_step       : num 2
##   .. .. ..$ line_opt_method: chr "onestep"
##   .. ..$ bru_compress_cp  : logi TRUE
##   .. ..$ bru_debug        : logi FALSE
##   .. ..$ E                : num 1
##   .. ..$ Ntrials          : num 1
##   .. ..$ control.compute  :List of 3
##   .. .. ..$ config: logi TRUE
##   .. .. ..$ dic   : logi TRUE
##   .. .. ..$ waic  : logi TRUE
##   .. ..$ control.inla     :List of 1
##   .. .. ..$ int.strategy: chr "auto"
##   .. ..$ control.fixed    :List of 1
##   .. .. ..$ expand.factor.strategy: chr "inla"
##   .. ..$ verbose          : logi FALSE
##   .. ..- attr(*, "class")= chr [1:2] "bru_options" "list"
##   ..$ inlabru_version: Named chr "2.10.1.9007"
##   .. ..- attr(*, "names")= chr "version"
##   ..$ INLA_version   : Named chr "24.05.18-2"
##   .. ..- attr(*, "names")= chr "version"
##   ..- attr(*, "class")= chr [1:2] "bru_info" "list"
##  - attr(*, "class")= chr [1:3] "bru" "iinla" "inla"
stat.time.fin <- Sys.time()
print(stat.time.fin - stat.time.ini)
## Time difference of 1.174534 mins
summary(rspde_fit_stat)
## inlabru version: 2.10.1.9007
## INLA version: 24.05.18-2
## Components:
## Intercept: main = linear(1), group = exchangeable(1L), replicate = iid(1L)
## SpeedLimit: main = linear(SpeedLimit), group = exchangeable(1L), replicate = iid(1L)
## field: main = cgeneric(loc), group = exchangeable(1L), replicate = iid(data_rspde_bru_stat[["repl"]])
## Likelihoods:
##   Family: 'gaussian'
##     Data class: 'metric_graph_data', 'list'
##     Predictor: speed ~ .
## Time used:
##     Pre = 0.355, Running = 7.83, Post = 2.66, Total = 10.8 
## Fixed effects:
##              mean    sd 0.025quant 0.5quant 0.975quant   mode kld
## Intercept  27.363 0.302     26.776   27.361     27.962 27.361   0
## SpeedLimit  3.235 0.169      2.903    3.236      3.565  3.236   0
## 
## Random effects:
##   Name     Model
##     field CGeneric
## 
## Model hyperparameters:
##                                           mean    sd 0.025quant 0.5quant
## Precision for the Gaussian observations  0.011 0.000       0.01    0.011
## Theta1 for field                         2.859 0.018       2.82    2.859
## Theta2 for field                        -1.306 0.073      -1.45   -1.306
##                                         0.975quant   mode
## Precision for the Gaussian observations      0.011  0.011
## Theta1 for field                             2.895  2.859
## Theta2 for field                            -1.162 -1.308
## 
## Deviance Information Criterion (DIC) ...............: 174171.06
## Deviance Information Criterion (DIC, saturated) ....: 28838.73
## Effective number of parameters .....................: 6088.78
## 
## Watanabe-Akaike information criterion (WAIC) ...: 174215.16
## Effective number of parameters .................: 5020.93
## 
## Marginal log-Likelihood:  -90147.80 
##  is computed 
## Posterior summaries for the linear predictor and the fitted values are computed
## (Posterior marginals needs also 'control.compute=list(return.marginals.predictor=TRUE)')
fit.rspde = rspde.result(rspde_fit_stat, "field", rspde_model_stat)
summary(fit.rspde)
##              mean        sd 0.025quant 0.5quant 0.975quant      mode
## std.dev 17.445200 0.3165900  16.833900 17.44140  18.077300 17.432700
## range    0.271576 0.0196425   0.235276  0.27078   0.312395  0.269017

1.2 Nonstationary model

  • Observe that we are using the computed parameters from the stationary model as initial values for the nonstationary models.
nonstat.time.ini <- Sys.time()
################################################################################
############################# NON STATIONARY MODEL #############################
################################################################################

B.sigma = cbind(0, 1, 0, mesh$SpeedLimit, 0)
B.range = cbind(0, 0, 1, 0, mesh$SpeedLimit)
init.vec.theta = c(fit.rspde$summary.log.std.dev$mode, 
                   fit.rspde$summary.log.range$mode, 
                   rep(0, (ncol(B.sigma)-3)))

rspde_model_nonstat <- rspde.metric_graph(sf_graph,
                                          start.theta = init.vec.theta,
                                          theta.prior.mean = init.vec.theta,
                                          B.sigma = B.sigma,
                                          B.range = B.range,
                                          parameterization = "matern",
                                          nu = 0.5)
str(rspde_model_nonstat)
## List of 21
##  $ f                   :List of 3
##   ..$ model   : chr "cgeneric"
##   ..$ n       : int 13932
##   ..$ cgeneric:List of 5
##   .. ..$ model: chr "inla_cgeneric_rspde_nonstat_int_model"
##   .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. ..$ n    : int 13932
##   .. ..$ debug: logi FALSE
##   .. ..$ data :List of 5
##   .. .. ..$ ints      :List of 5
##   .. .. .. ..$ n          : int 13932
##   .. .. .. ..$ debug      : int 0
##   .. .. .. ..$ graph_opt_i: int [1:29068] 0 0 0 0 1 1 1 1 1 2 ...
##   .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. ..$ alpha      : int 1
##   .. .. ..$ doubles   :List of 2
##   .. .. .. ..$ start.theta     : num [1:4] 2.86 -1.31 0 0
##   .. .. .. ..$ theta.prior.mean: num [1:4] 2.86 -1.31 0 0
##   .. .. ..$ characters:List of 3
##   .. .. .. ..$ model            : chr "inla_cgeneric_rspde_nonstat_int_model"
##   .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. ..$ matrices  :List of 3
##   .. .. .. ..$ B_tau           : num [1:69662] 13932 5 -0.693 -1 0.5 ...
##   .. .. .. ..$ B_kappa         : num [1:69662] 13932 5 0.693 0 -1 ...
##   .. .. .. ..$ theta.prior.prec: num [1:18] 4 4 0.1 0 0 0 0 0.1 0 0 ...
##   .. .. ..$ smatrices :List of 2
##   .. .. .. ..$ C: num [1:41799] 13932 13932 13932 0 1 ...
##   .. .. .. ..$ G: num [1:132615] 13932 13932 44204 0 5681 ...
##   .. ..- attr(*, "class")= chr "inla.cgeneric"
##  $ cgeneric_type       : chr "int_alpha"
##  $ nu                  : num 0.5
##  $ theta.prior.mean    : num [1:4] 2.86 -1.31 0 0
##  $ prior.nu            :List of 4
##   ..$ loglocation: num -5e-06
##   ..$ mean       : num 1
##   ..$ prec       : num 3
##   ..$ logscale   : num 1
##  $ theta.prior.prec    : num [1:4, 1:4] 0.1 0 0 0 0 0.1 0 0 0 0 ...
##  $ start.nu            : num 0.5
##  $ integer.nu          : logi TRUE
##  $ start.theta         : num [1:4] 2.86 -1.31 0 0
##  $ stationary          : logi FALSE
##  $ rspde.order         : num 2
##  $ dim                 : num 1
##  $ est_nu              : logi FALSE
##  $ nu.upper.bound      : num 2
##  $ prior.nu.dist       : chr "lognormal"
##  $ debug               : logi FALSE
##  $ type.rational.approx: chr "chebfun"
##  $ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##  $ fem_mesh            :List of 4
##   ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. ..@ factors : list()
##   ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. ..@ factors : list()
##   ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. ..@ factors : list()
##   ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. ..@ factors : list()
##  $ parameterization    : chr "matern"
##  $ n.spde              : int 13932
##  - attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
data_rspde_bru_nonstat <- graph_data_rspde(rspde_model_nonstat,
                                           repl = ".all",
                                           loc_name = "loc")
str(data_rspde_bru_nonstat)
## List of 4
##  $ data :List of 8
##   ..$ speed            : num [1:22764] 0 1.61 3.22 14.48 1.61 ...
##   ..$ SpeedLimit       : num [1:22764] -1.2 -1.2 -1.2 -1.2 -1.2 ...
##   ..$ .coord_x         : num [1:22764] -122 -122 -122 -122 -122 ...
##   ..$ .coord_y         : num [1:22764] 37.8 37.8 37.8 37.8 37.8 ...
##   ..$ .edge_number     : num [1:22764] 3 3 3 3 3 3 3 6 6 6 ...
##   ..$ .distance_on_edge: num [1:22764] 0.0148 0.0489 0.079 0.4594 0.7623 ...
##   ..$ .group           : chr [1:22764] "1" "1" "1" "1" ...
##   ..$ loc              : num [1:22764, 1:2] 3 3 3 3 3 3 3 6 6 6 ...
##   ..- attr(*, "class")= chr [1:2] "metric_graph_data" "list"
##  $ index:List of 3
##   ..$ field      : int [1:55728] 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ field.group: int [1:55728] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ field.repl : int [1:55728] 1 1 1 1 1 1 1 1 1 1 ...
##   ..- attr(*, "class")= chr [1:2] "inla_rspde_index" "list"
##   ..- attr(*, "rspde.order")= num 0
##   ..- attr(*, "integer_nu")= logi TRUE
##   ..- attr(*, "n.mesh")= int 13932
##   ..- attr(*, "name")= chr "field"
##   ..- attr(*, "n.group")= int 1
##   ..- attr(*, "n.repl")= int 4
##  $ repl : chr [1:22764] "1" "1" "1" "1" ...
##  $ basis:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. ..@ i       : int [1:45528] 0 1 2 3 9 10 11 12 4 5 ...
##   .. ..@ p       : int [1:55729] 0 0 0 0 0 8 14 14 14 20 ...
##   .. ..@ Dim     : int [1:2] 22764 55728
##   .. ..@ Dimnames:List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : NULL
##   .. ..@ x       : num [1:45528] 0.9704 0.9022 0.8421 0.0812 0.3953 ...
##   .. ..@ factors : list()
cmp_nonstat = speed ~ -1 +
  Intercept(1) +
  SpeedLimit +
  field(loc, model = rspde_model_nonstat,
        replicate = data_rspde_bru_nonstat[["repl"]])

rspde_fit_nonstat <-
  bru(cmp_nonstat,
      data = data_rspde_bru_nonstat[["data"]],
      family = "gaussian",
      options = list(verbose = FALSE)
  )
str(rspde_fit_nonstat)
## List of 56
##  $ names.fixed                : chr [1:2] "Intercept" "SpeedLimit"
##  $ summary.fixed              :'data.frame': 2 obs. of  7 variables:
##   ..$ mean      : num [1:2] 27.2 3.2
##   ..$ sd        : num [1:2] 0.3 0.166
##   ..$ 0.025quant: num [1:2] 26.57 2.87
##   ..$ 0.5quant  : num [1:2] 27.2 3.2
##   ..$ 0.975quant: num [1:2] 27.75 3.52
##   ..$ mode      : num [1:2] 27.2 3.2
##   ..$ kld       : num [1:2] 6.54e-09 1.82e-08
##  $ marginals.fixed            :List of 2
##   ..$ Intercept : num [1:43, 1:2] 25.9 26 26.2 26.5 26.6 ...
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ SpeedLimit: num [1:43, 1:2] 2.51 2.59 2.69 2.81 2.87 ...
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ summary.lincomb            :'data.frame': 0 obs. of  0 variables
##  $ marginals.lincomb          : NULL
##  $ size.lincomb               : NULL
##  $ summary.lincomb.derived    :'data.frame': 0 obs. of  0 variables
##  $ marginals.lincomb.derived  : NULL
##  $ size.lincomb.derived       : NULL
##  $ mlik                       : num [1:2, 1] -90141 -90139
##   ..- attr(*, "dimnames")=List of 2
##   .. ..$ : chr [1:2] "log marginal-likelihood (integration)" "log marginal-likelihood (Gaussian)"
##   .. ..$ : NULL
##  $ cpo                        :List of 3
##   ..$ cpo    : logi(0) 
##   ..$ pit    : logi(0) 
##   ..$ failure: logi(0) 
##  $ gcpo                       :List of 5
##   ..$ gcpo  : NULL
##   ..$ kld   : NULL
##   ..$ mean  : NULL
##   ..$ sd    : NULL
##   ..$ groups: NULL
##  $ po                         :List of 1
##   ..$ po: num [1:22764] 0.0308 0.0333 0.0355 0.0328 0.0197 ...
##  $ waic                       :List of 4
##   ..$ waic       : num 174220
##   ..$ p.eff      : num 4991
##   ..$ local.waic : num [1:22764] 7.18 6.94 6.75 7.1 8.39 ...
##   ..$ local.p.eff: num [1:22764] 0.1106 0.0674 0.0393 0.1296 0.2663 ...
##  $ residuals                  :List of 1
##   ..$ deviance.residuals: num [1:22764] -0.817 -0.689 -0.57 0.743 -1.304 ...
##  $ model.random               : chr "CGeneric"
##  $ summary.random             :List of 1
##   ..$ field:'data.frame':    55728 obs. of  8 variables:
##   .. ..$ ID        : num [1:55728] 1 2 3 4 5 6 7 8 9 10 ...
##   .. ..$ mean      : num [1:55728] -2.24 -1.15 5.05 2.06 -16.71 ...
##   .. ..$ sd        : num [1:55728] 11.1 11.34 16.62 18.57 4.41 ...
##   .. ..$ 0.025quant: num [1:55728] -24 -23.4 -27.5 -34.4 -25.4 ...
##   .. ..$ 0.5quant  : num [1:55728] -2.24 -1.14 5.04 2.05 -16.71 ...
##   .. ..$ 0.975quant: num [1:55728] 19.52 21.08 37.69 38.52 -8.07 ...
##   .. ..$ mode      : num [1:55728] -2.24 -1.14 5.04 2.05 -16.71 ...
##   .. ..$ kld       : num [1:55728] 1.39e-11 8.19e-12 3.52e-10 2.04e-10 5.07e-11 ...
##  $ marginals.random           :List of 1
##   ..$ field:List of 55728
##   .. ..$ index.1    : num [1:43, 1:2] -49.6 -43.6 -36.6 -28.1 -24 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.2    : num [1:43, 1:2] -49.6 -43.4 -36.2 -27.5 -23.4 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.3    : num [1:43, 1:2] -66.1 -57 -46.4 -33.6 -27.5 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.4    : num [1:43, 1:2] -77.6 -67.3 -55.5 -41.2 -34.4 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.5    : num [1:43, 1:2] -35.5 -33.1 -30.4 -27 -25.4 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.6    : num [1:43, 1:2] -29.3 -26.4 -23 -19 -17 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.7    : num [1:43, 1:2] -53.7 -47.3 -39.8 -30.7 -26.4 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.8    : num [1:43, 1:2] -59.9 -52.5 -43.9 -33.5 -28.6 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.9    : num [1:43, 1:2] -28.3 -25.5 -22.2 -18.2 -16.3 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.10   : num [1:43, 1:2] -33.2 -30.5 -27.3 -23.4 -21.6 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.11   : num [1:43, 1:2] -30.7 -28.1 -25.1 -21.4 -19.6 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.12   : num [1:43, 1:2] -29.7 -26.9 -23.8 -19.9 -18.1 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.13   : num [1:43, 1:2] -38.4 -33.8 -28.4 -21.9 -18.7 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.14   : num [1:43, 1:2] -18.34 -16.35 -14.04 -11.23 -9.88 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.15   : num [1:43, 1:2] -31.2 -28.7 -25.7 -22.2 -20.5 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.16   : num [1:43, 1:2] -36.5 -33.5 -30.2 -26.1 -24.1 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.17   : num [1:43, 1:2] -63 -55.7 -47.3 -37.1 -32.3 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.18   : num [1:43, 1:2] -44.2 -40 -35 -29 -26.2 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.19   : num [1:43, 1:2] -60 -53.6 -46.1 -37.1 -32.7 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.20   : num [1:43, 1:2] -48.3 -43.8 -38.6 -32.3 -29.3 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.21   : num [1:43, 1:2] -26.8 -24.5 -21.8 -18.6 -17.1 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.22   : num [1:43, 1:2] -28.6 -26.3 -23.7 -20.5 -18.9 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.23   : num [1:43, 1:2] -26 -23.5 -20.5 -16.9 -15.2 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.24   : num [1:43, 1:2] -23.6 -21 -18.1 -14.5 -12.8 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.25   : num [1:43, 1:2] -16.64 -14.76 -12.58 -9.93 -8.66 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.26   : num [1:43, 1:2] -39.5 -35.1 -30.1 -23.9 -21 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.27   : num [1:43, 1:2] -10.048 -7.888 -5.382 -2.335 -0.873 ...
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##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.28   : num [1:43, 1:2] -33 -30.6 -27.8 -24.4 -22.8 ...
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##   .. .. .. ..$ : chr [1:2] "x" "y"
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.31   : num [1:43, 1:2] -18.23 -15.78 -12.94 -9.49 -7.84 ...
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##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.32   : num [1:43, 1:2] -16.67 -14.09 -11.09 -7.45 -5.71 ...
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##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.33   : num [1:43, 1:2] -57.6 -50.1 -41.5 -31.2 -26.2 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.34   : num [1:43, 1:2] -58.5 -50.9 -42.2 -31.6 -26.6 ...
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##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.35   : num [1:43, 1:2] -23.8 -20.2 -16 -10.9 -8.4 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.36   : num [1:43, 1:2] -34.6 -29.7 -24 -17 -13.7 ...
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##   .. .. .. ..$ : chr [1:2] "x" "y"
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##   .. .. .. ..$ : chr [1:2] "x" "y"
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##   .. .. .. ..$ : chr [1:2] "x" "y"
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##   .. .. [list output truncated]
##  $ size.random                :List of 1
##   ..$ :List of 5
##   .. ..$ n     : num 13932
##   .. ..$ N     : num 13932
##   .. ..$ Ntotal: num 55728
##   .. ..$ ngroup: num 1
##   .. ..$ nrep  : num 4
##  $ summary.linear.predictor   :'data.frame': 78494 obs. of  7 variables:
##   ..$ mean      : num [1:78494] 6.69 6.94 7.16 9.97 13.65 ...
##   ..$ sd        : num [1:78494] 4.28 4.05 3.89 5.64 3.94 ...
##   ..$ 0.025quant: num [1:78494] -1.705 -1.003 -0.466 -1.096 5.917 ...
##   ..$ 0.5quant  : num [1:78494] 6.69 6.94 7.16 9.97 13.65 ...
##   ..$ 0.975quant: num [1:78494] 15.1 14.9 14.8 21 21.4 ...
##   ..$ mode      : num [1:78494] 6.69 6.94 7.16 9.97 13.65 ...
##   ..$ kld       : num [1:78494] 5.27e-11 4.97e-11 4.78e-11 3.20e-11 4.59e-11 ...
##  $ marginals.linear.predictor : NULL
##  $ summary.fitted.values      :'data.frame': 78494 obs. of  6 variables:
##   ..$ mean      : num [1:78494] 6.69 6.94 7.16 9.97 13.65 ...
##   ..$ sd        : num [1:78494] 4.28 4.05 3.89 5.64 3.94 ...
##   ..$ 0.025quant: num [1:78494] -1.705 -1.003 -0.466 -1.096 5.917 ...
##   ..$ 0.5quant  : num [1:78494] 6.69 6.94 7.16 9.97 13.65 ...
##   ..$ 0.975quant: num [1:78494] 15.1 14.9 14.8 21 21.4 ...
##   ..$ mode      : num [1:78494] 6.69 6.94 7.16 9.98 13.65 ...
##  $ marginals.fitted.values    : NULL
##  $ size.linear.predictor      :List of 5
##   ..$ n     : num 55730
##   ..$ N     : num 55730
##   ..$ Ntotal: num 78494
##   ..$ ngroup: num 1
##   ..$ nrep  : num 2
##  $ summary.hyperpar           :'data.frame': 5 obs. of  6 variables:
##   ..$ mean      : num [1:5] 0.0106 3.0723 -0.852 0.4758 0.9615
##   ..$ sd        : num [1:5] 0.000137 0.040519 0.105846 0.053425 0.107184
##   ..$ 0.025quant: num [1:5] 0.0103 2.999 -1.0451 0.3791 0.7675
##   ..$ 0.5quant  : num [1:5] 0.0106 3.0704 -0.8567 0.4732 0.9564
##   ..$ 0.975quant: num [1:5] 0.0109 3.1579 -0.6297 0.5886 1.1878
##   ..$ mode      : num [1:5] 0.0106 3.061 -0.8789 0.4609 0.9317
##  $ marginals.hyperpar         :List of 5
##   ..$ Precision for the Gaussian observations: num [1:43, 1:2] 0.01 0.0101 0.0102 0.0103 0.0103 ...
##   .. ..- attr(*, "hyperid")= chr "65001|INLA.Data1"
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta1 for field                       : num [1:43, 1:2] 2.92 2.94 2.96 2.99 3 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta2 for field                       : num [1:43, 1:2] -1.25 -1.2 -1.15 -1.08 -1.05 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta3 for field                       : num [1:43, 1:2] 0.278 0.302 0.329 0.363 0.379 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta4 for field                       : num [1:43, 1:2] 0.564 0.612 0.667 0.735 0.767 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ internal.summary.hyperpar  :'data.frame': 5 obs. of  6 variables:
##   ..$ mean      : num [1:5] -4.548 3.073 -0.851 0.476 0.962
##   ..$ sd        : num [1:5] 0.0129 0.0405 0.1058 0.0534 0.1071
##   ..$ 0.025quant: num [1:5] -4.573 2.999 -1.045 0.379 0.767
##   ..$ 0.5quant  : num [1:5] -4.547 3.07 -0.857 0.473 0.956
##   ..$ 0.975quant: num [1:5] -4.522 3.158 -0.63 0.589 1.188
##   ..$ mode      : num [1:5] -4.547 3.062 -0.877 0.462 0.933
##  $ internal.marginals.hyperpar:List of 5
##   ..$ Log precision for the Gaussian observations: num [1:43, 1:2] -4.6 -4.6 -4.59 -4.58 -4.57 ...
##   .. ..- attr(*, "hyperid")= chr "65001|INLA.Data1"
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta1 for field                           : num [1:43, 1:2] 2.92 2.94 2.96 2.99 3 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta2 for field                           : num [1:43, 1:2] -1.25 -1.2 -1.15 -1.08 -1.05 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta3 for field                           : num [1:43, 1:2] 0.278 0.302 0.329 0.363 0.379 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta4 for field                           : num [1:43, 1:2] 0.564 0.612 0.667 0.735 0.767 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ offset.linear.predictor    : num [1:78494] 0 0 0 0 0 0 0 0 0 0 ...
##  $ model.spde2.blc            : NULL
##  $ summary.spde2.blc          : list()
##  $ marginals.spde2.blc        : NULL
##  $ size.spde2.blc             : NULL
##  $ model.spde3.blc            : NULL
##  $ summary.spde3.blc          : list()
##  $ marginals.spde3.blc        : NULL
##  $ size.spde3.blc             : NULL
##  $ logfile                    : chr [1:880] "[PANUA] PARDISO License is expired." "[PANUA] Please obtain a new PARDISO license at https://www.panua.ch/products/pardiso" "        Read ntt 24 1 with max.threads 24" "        Found num.threads = 24:1 max_threads = 24" ...
##  $ misc                       :List of 22
##   ..$ cov.intern                        : num [1:5, 1:5] 1.67e-04 -9.74e-06 -2.54e-04 -3.95e-05 -6.43e-05 ...
##   ..$ cor.intern                        : num [1:5, 1:5] 1 -0.019 -0.1887 -0.0586 -0.0475 ...
##   ..$ cov.intern.eigenvalues            : num [1:5] 8.61e-05 1.01e-04 2.04e-04 3.07e-03 2.28e-02
##   ..$ cov.intern.eigenvectors           : num [1:5, 1:5] 0.1879 -0.2359 0.0922 -0.847 0.4279 ...
##   ..$ reordering                        : int [1:55730] 23792 23613 20279 20315 22738 22767 22660 22677 22768 22676 ...
##   ..$ theta.tags                        : chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   ..$ log.posterior.mode                : num -90125
##   ..$ stdev.corr.negative               : num [1:5] 1.001 1 0.996 0.979 0.807
##   ..$ stdev.corr.positive               : num [1:5] 0.999 1 1.004 1.022 1.238
##   ..$ to.theta                          :List of 5
##   .. ..$ Log precision for the Gaussian observations:function (x)  
##   .. ..$ Theta1 for field                           :function (x)  
##   .. ..$ Theta2 for field                           :function (x)  
##   .. ..$ Theta3 for field                           :function (x)  
##   .. ..$ Theta4 for field                           :function (x)  
##   ..$ from.theta                        :List of 5
##   .. ..$ Log precision for the Gaussian observations:function (x)  
##   .. ..$ Theta1 for field                           :function (x)  
##   .. ..$ Theta2 for field                           :function (x)  
##   .. ..$ Theta3 for field                           :function (x)  
##   .. ..$ Theta4 for field                           :function (x)  
##   ..$ mode.status                       : num 0
##   ..$ lincomb.derived.correlation.matrix: NULL
##   ..$ lincomb.derived.covariance.matrix : NULL
##   ..$ opt.directions                    : num [1:5, 1:5] -0.0228 0.539 0.8298 -0.0866 0.1137 ...
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : chr [1:5] "theta:1" "theta:2" "theta:3" "theta:4" ...
##   .. .. ..$ : chr [1:5] "dir:1" "dir:2" "dir:3" "dir:4" ...
##   ..$ configs                           :List of 17
##   .. ..$ .preopt          : logi TRUE
##   .. ..$ lite             : logi FALSE
##   .. ..$ mpred            : int 22764
##   .. ..$ npred            : int 55730
##   .. ..$ mnpred           : int 78494
##   .. ..$ Npred            : int 22764
##   .. ..$ n                : int 55730
##   .. ..$ nz               : int 148301
##   .. ..$ prior_nz         : int 116274
##   .. ..$ ntheta           : int 5
##   .. ..$ nconfig          : int 27
##   .. ..$ offsets          : num [1:78494] 0 0 0 0 0 0 0 0 0 0 ...
##   .. ..$ contents         :List of 3
##   .. .. ..$ tag   : chr [1:5] "APredictor" "Predictor" "field" "Intercept" ...
##   .. .. ..$ start : int [1:5] 1 22765 78495 134223 134224
##   .. .. ..$ length: int [1:5] 22764 55730 55728 1 1
##   .. ..$ A                :Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. ..@ i       : int [1:55730] 2 3 4 5 6 7 8 9 10 11 ...
##   .. .. .. ..@ j       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. ..$ : NULL
##   .. .. .. .. ..$ : NULL
##   .. .. .. ..@ x       : num [1:55730] 1 1 1 1 1 1 1 1 1 1 ...
##   .. .. .. ..@ factors : list()
##   .. ..$ pA               :Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. ..@ i       : int [1:91037] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. ..@ j       : int [1:91037] 0 0 0 0 0 0 0 0 0 0 ...
##   .. .. .. ..@ Dim     : int [1:2] 22764 55730
##   .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. ..$ : NULL
##   .. .. .. .. ..$ : NULL
##   .. .. .. ..@ x       : num [1:91037] 1 1 1 1 1 1 1 1 1 1 ...
##   .. .. .. ..@ factors : list()
##   .. ..$ config           :List of 27
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.547 3.06 -0.881 0.46 0.929
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -4.6
##   .. .. .. ..$ log.posterior.orig: num 0
##   .. .. .. ..$ mean              : num [1:55730] -2.24 -1.14 5.02 2.03 -16.72 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.24 -1.14 5.02 2.03 -16.72 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0487 0.0251 0.0116 0.0102 0.0529 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 123.2 128.4 275.3 344.3 19.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0487 0.0251 0.0116 0.0102 0.0127 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0709 -0.0565 -0.0418 0.0478 -0.1275 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.69 6.94 7.16 9.97 13.64 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.16 3.2 -2.24 -1.14 5.02 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.543 3.055 -0.879 0.44 0.939
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.3
##   .. .. .. ..$ log.posterior.orig: num -3.03
##   .. .. .. ..$ mean              : num [1:55730] -2.26 -1.15 4.66 1.87 -16.2 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.26 -1.15 4.66 1.87 -16.2 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0476 0.0245 0.0133 0.0118 0.055 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 125.7 131 238.4 298.6 18.6 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0476 0.0245 0.0133 0.0118 0.0147 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0755 -0.0606 -0.0454 0.0504 -0.1263 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 7.1 7.3 7.48 9.75 13.48 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.08 3.22 -2.26 -1.15 4.66 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.552 3.065 -0.883 0.479 0.919
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.33
##   .. .. .. ..$ log.posterior.orig: num -3.06
##   .. .. .. ..$ mean              : num [1:55730] -2.22 -1.13 5.41 2.19 -17.2 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.22 -1.13 5.41 2.19 -17.2 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0499 0.0257 0.0101 0.0089 0.051 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 120.7 125.9 318 397.1 20.1 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0499 0.0257 0.0101 0.0089 0.0111 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0665 -0.0527 -0.0385 0.0452 -0.1287 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.3 6.6 6.86 10.2 13.81 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.22 3.19 -2.22 -1.13 5.41 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.563 3.077 -0.885 0.451 0.93
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.28
##   .. .. .. ..$ log.posterior.orig: num -3.01
##   .. .. .. ..$ mean              : num [1:55730] -2.26 -1.15 4.92 1.98 -16.63 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.26 -1.15 4.92 1.98 -16.63 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0464 0.0238 0.0117 0.0103 0.0523 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 129.1 134.5 272.1 340.5 19.6 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0464 0.0238 0.0117 0.0103 0.0128 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0707 -0.0564 -0.0418 0.0481 -0.1246 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.78 7.02 7.23 9.87 13.55 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.15 3.19 -2.26 -1.15 4.92 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.532 3.043 -0.878 0.468 0.928
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.3
##   .. .. .. ..$ log.posterior.orig: num -3.04
##   .. .. .. ..$ mean              : num [1:55730] -2.22 -1.14 5.12 2.08 -16.81 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.22 -1.14 5.12 2.08 -16.81 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0513 0.0263 0.0115 0.0102 0.0534 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 117.6 122.6 278.5 348.1 19.2 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0513 0.0263 0.0115 0.0102 0.0126 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.071 -0.0566 -0.0418 0.0474 -0.1305 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.6 6.86 7.1 10.08 13.73 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.17 3.22 -2.22 -1.14 5.12 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.574 3.037 -0.878 0.462 0.933
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.28
##   .. .. .. ..$ log.posterior.orig: num -3.02
##   .. .. .. ..$ mean              : num [1:55730] -2.18 -1.11 4.87 1.97 -16.45 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.18 -1.11 4.87 1.97 -16.45 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0513 0.0264 0.0121 0.0107 0.0524 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 117.2 122.2 263.8 329.8 19.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0513 0.0264 0.0121 0.0107 0.0133 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0704 -0.0564 -0.042 0.0456 -0.1253 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.82 7.07 7.29 10.07 13.75 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.1 3.27 -2.18 -1.11 4.87 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.521 3.083 -0.885 0.457 0.925
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.31
##   .. .. .. ..$ log.posterior.orig: num -3.04
##   .. .. .. ..$ mean              : num [1:55730] -2.31 -1.18 5.17 2.09 -17 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.31 -1.18 5.17 2.09 -17 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0464 0.0238 0.0111 0.0098 0.0534 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 129.4 134.9 287.2 359.4 19.2 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0464 0.0238 0.0111 0.0098 0.0122 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0713 -0.0566 -0.0415 0.05 -0.1297 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.56 6.81 7.04 9.88 13.54 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.21 3.13 -2.31 -1.18 5.17 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.541 3.055 -0.985 0.494 1.014
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.28
##   .. .. .. ..$ log.posterior.orig: num -3.02
##   .. .. .. ..$ mean              : num [1:55730] -1.655 -0.758 3.687 1.267 -16.426 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -1.655 -0.758 3.687 1.267 -16.426 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.04427 0.02315 0.011 0.00972 0.0525 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 118.7 121.1 253.9 324 19.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.04427 0.02315 0.011 0.00972 0.0121 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0706 -0.0561 -0.0413 0.0489 -0.1284 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.61 6.87 7.09 9.9 13.65 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.021 3.396 -1.655 -0.758 3.687 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.554 3.065 -0.782 0.426 0.847
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.96
##   .. .. .. ..$ log.posterior.orig: num -2.69
##   .. .. .. ..$ mean              : num [1:55730] -2.85 -1.58 6.5 2.99 -17.01 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.85 -1.58 6.5 2.99 -17.01 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0536 0.0272 0.0122 0.0108 0.0533 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 126.8 134.7 296.5 365.4 19.2 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0536 0.0272 0.0122 0.0108 0.0134 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0711 -0.0568 -0.0422 0.0464 -0.1271 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.75 7.01 7.23 10.07 13.68 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.3 3.02 -2.85 -1.58 6.5 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.552 3.175 -0.59 0.611 1.231
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.18
##   .. .. .. ..$ log.posterior.orig: num -1.91
##   .. .. .. ..$ mean              : num [1:55730] -2.25 -1.21 5.59 2.46 -16.67 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.25 -1.21 5.59 2.46 -16.67 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0517 0.0265 0.0123 0.0109 0.0535 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 122.6 131.1 273.7 351.6 19.1 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0517 0.0265 0.0123 0.0109 0.0135 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0719 -0.0575 -0.0428 0.0472 -0.1282 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.81 7.06 7.27 10.01 13.76 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.11 3.1 -2.25 -1.21 5.59 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.545 2.985 -1.071 0.361 0.732
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -4.63
##   .. .. .. ..$ log.posterior.orig: num -1.36
##   .. .. .. ..$ mean              : num [1:55730] -2.19 -1.07 4.63 1.75 -16.71 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.19 -1.07 4.63 1.75 -16.71 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.04692 0.0242 0.01115 0.00985 0.0525 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 122.4 125.8 275.8 335.8 19.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.04692 0.0242 0.01115 0.00985 0.01226 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0702 -0.0558 -0.0411 0.0482 -0.1271 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.61 6.86 7.09 9.95 13.57 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.17 3.29 -2.19 -1.07 4.63 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.535 3.119 -0.707 0.523 1.021
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.18
##   .. .. .. ..$ log.posterior.orig: num -2.91
##   .. .. .. ..$ mean              : num [1:55730] -2.54 -1.38 6.28 2.81 -17.23 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.54 -1.38 6.28 2.81 -17.23 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.05277 0.02691 0.01117 0.00987 0.05289 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 123.8 131.7 310.4 390.7 19.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.05277 0.02691 0.01117 0.00987 0.01229 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0696 -0.0554 -0.0408 0.0466 -0.1305 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.49 6.77 7.02 10.14 13.78 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.26 3.04 -2.54 -1.38 6.28 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.526 3.029 -1.014 0.442 0.873
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.18
##   .. .. .. ..$ log.posterior.orig: num -2.91
##   .. .. .. ..$ mean              : num [1:55730] -1.965 -0.941 4.485 1.646 -16.963 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -1.965 -0.941 4.485 1.646 -16.963 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.04638 0.02404 0.01021 0.00902 0.05221 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 120.1 123.2 290.6 362.2 19.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.04638 0.02404 0.01021 0.00902 0.01123 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0687 -0.0543 -0.0396 0.0482 -0.1305 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.35 6.63 6.88 10.03 13.67 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.158 3.295 -1.965 -0.941 4.485 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.556 3.013 -0.92 0.414 0.801
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.9
##   .. .. .. ..$ log.posterior.orig: num -2.63
##   .. .. .. ..$ mean              : num [1:55730] -2.44 -1.27 5.63 2.36 -16.99 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.44 -1.27 5.63 2.36 -16.99 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.05285 0.02703 0.01112 0.00982 0.05203 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 118.4 123.6 299.8 367.8 19.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.05285 0.02703 0.01112 0.00982 0.01223 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0686 -0.0546 -0.0403 0.0451 -0.128 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.52 6.81 7.05 10.19 13.79 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.23 3.19 -2.44 -1.27 5.63 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.553 3.094 -0.795 0.556 1.099
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.78
##   .. .. .. ..$ log.posterior.orig: num -2.51
##   .. .. .. ..$ mean              : num [1:55730] -1.94 -0.975 4.769 1.886 -16.707 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -1.94 -0.975 4.769 1.886 -16.707 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.05066 0.02615 0.0111 0.00981 0.05211 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 115.1 120.3 278.6 356 19.6 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.05066 0.02615 0.0111 0.00981 0.01221 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0691 -0.055 -0.0406 0.0458 -0.129 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.56 6.83 7.07 10.14 13.86 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.083 3.27 -1.94 -0.975 4.769 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.546 3.049 -0.926 0.404 0.799
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.75
##   .. .. .. ..$ log.posterior.orig: num -2.48
##   .. .. .. ..$ mean              : num [1:55730] -2.52 -1.32 5.68 2.37 -17.16 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.52 -1.32 5.68 2.37 -17.16 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.04829 0.02471 0.01076 0.00951 0.052 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 129 134.7 308.2 378.3 19.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.04829 0.02471 0.01076 0.00951 0.01184 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0688 -0.0546 -0.0401 0.0474 -0.1273 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.49 6.76 7 10.01 13.61 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.28 3.12 -2.52 -1.32 5.68 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.544 3.129 -0.802 0.546 1.097
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.57
##   .. .. .. ..$ log.posterior.orig: num -2.31
##   .. .. .. ..$ mean              : num [1:55730] -2.01 -1.01 4.81 1.89 -16.88 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.01 -1.01 4.81 1.89 -16.88 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0463 0.0239 0.0107 0.0095 0.0521 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 125.5 131 286.4 366.3 19.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0463 0.0239 0.0107 0.0095 0.0118 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0693 -0.055 -0.0404 0.0481 -0.1283 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.52 6.78 7.01 9.96 13.68 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.13 3.19 -2.01 -1.01 4.81 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.573 3.113 -0.707 0.518 1.025
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.08
##   .. .. .. ..$ log.posterior.orig: num -2.81
##   .. .. .. ..$ mean              : num [1:55730] -2.5 -1.36 6.01 2.68 -16.9 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.5 -1.36 6.01 2.68 -16.9 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0528 0.0269 0.0117 0.0103 0.052 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 123.5 131.3 295.8 372.2 19.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0528 0.0269 0.0117 0.0103 0.0129 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0691 -0.0552 -0.041 0.0449 -0.1258 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.7 6.96 7.19 10.13 13.79 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.21 3.09 -2.5 -1.36 6.01 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.564 3.024 -1.014 0.437 0.877
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.1
##   .. .. .. ..$ log.posterior.orig: num -2.83
##   .. .. .. ..$ mean              : num [1:55730] -1.93 -0.922 4.283 1.567 -16.646 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -1.93 -0.922 4.283 1.567 -16.646 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.04639 0.02406 0.0107 0.00945 0.05123 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 120 123 277 345 20 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.04639 0.02406 0.0107 0.00945 0.01177 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0682 -0.0542 -0.0399 0.0465 -0.1259 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.55 6.81 7.05 10.02 13.69 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.105 3.345 -1.93 -0.922 4.283 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.528 3.029 -0.921 0.394 0.807
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.81
##   .. .. .. ..$ log.posterior.orig: num -2.54
##   .. .. .. ..$ mean              : num [1:55730] -2.53 -1.32 5.41 2.26 -16.79 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.53 -1.32 5.41 2.26 -16.79 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0494 0.0253 0.0121 0.0107 0.0542 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 126 131.6 273.8 336.4 18.9 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0494 0.0253 0.0121 0.0107 0.0133 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.073 -0.0582 -0.0431 0.0494 -0.1288 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.76 7 7.21 9.91 13.54 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.22 3.14 -2.53 -1.32 5.41 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.526 3.109 -0.796 0.536 1.104
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.82
##   .. .. .. ..$ log.posterior.orig: num -2.56
##   .. .. .. ..$ mean              : num [1:55730] -2.01 -1.01 4.58 1.8 -16.51 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.01 -1.01 4.58 1.8 -16.51 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0474 0.0245 0.0121 0.0107 0.0543 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 122.5 128 254.4 325.6 18.9 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0474 0.0245 0.0121 0.0107 0.0133 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0735 -0.0586 -0.0434 0.0501 -0.1299 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.79 7.02 7.23 9.85 13.61 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.08 3.22 -2.01 -1.01 4.58 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.555 3.093 -0.702 0.508 1.033
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.34
##   .. .. .. ..$ log.posterior.orig: num -3.07
##   .. .. .. ..$ mean              : num [1:55730] -2.49 -1.36 5.72 2.55 -16.52 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.49 -1.36 5.72 2.55 -16.52 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.054 0.0276 0.0132 0.0116 0.0543 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 120.7 128.2 262.8 330.9 18.8 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.054 0.0276 0.0132 0.0116 0.0145 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0733 -0.0589 -0.0441 0.0469 -0.1273 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.98 7.21 7.42 10.03 13.72 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.15 3.11 -2.49 -1.36 5.72 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.546 3.004 -1.009 0.427 0.885
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.29
##   .. .. .. ..$ log.posterior.orig: num -3.03
##   .. .. .. ..$ mean              : num [1:55730] -1.932 -0.923 4.08 1.493 -16.284 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -1.932 -0.923 4.08 1.493 -16.284 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0475 0.0246 0.012 0.0106 0.0534 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 117 120 245.9 306.9 19.1 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0475 0.0246 0.012 0.0106 0.0132 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0724 -0.0578 -0.0429 0.0485 -0.1275 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.82 7.06 7.26 9.92 13.62 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.055 3.368 -1.932 -0.923 4.08 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.546 3.129 -0.709 0.499 1.031
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.03
##   .. .. .. ..$ log.posterior.orig: num -2.76
##   .. .. .. ..$ mean              : num [1:55730] -2.58 -1.4 5.77 2.57 -16.68 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.58 -1.4 5.77 2.57 -16.68 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0494 0.0252 0.0127 0.0113 0.0542 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 131.5 139.7 270.1 340.5 18.9 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0494 0.0252 0.0127 0.0113 0.014 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0737 -0.0589 -0.0439 0.0493 -0.1266 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.94 7.16 7.36 9.84 13.54 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.18 3.04 -2.58 -1.4 5.77 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.537 3.039 -1.015 0.417 0.882
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.05
##   .. .. .. ..$ log.posterior.orig: num -2.78
##   .. .. .. ..$ mean              : num [1:55730] -1.997 -0.951 4.114 1.498 -16.451 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -1.997 -0.951 4.114 1.498 -16.451 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0434 0.0225 0.0117 0.0103 0.0534 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 127.5 130.7 252.8 315.8 19.2 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0434 0.0225 0.0117 0.0103 0.0128 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0726 -0.0578 -0.0427 0.0507 -0.1268 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.78 7 7.21 9.75 13.45 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.095 3.293 -1.997 -0.951 4.114 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.566 3.023 -0.921 0.39 0.811
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.82
##   .. .. .. ..$ log.posterior.orig: num -2.55
##   .. .. .. ..$ mean              : num [1:55730] -2.48 -1.29 5.18 2.15 -16.45 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -2.48 -1.29 5.18 2.15 -16.45 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0495 0.0253 0.0127 0.0112 0.0533 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 125.7 131.2 260.9 320.6 19.2 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0495 0.0253 0.0127 0.0112 0.014 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.0725 -0.0581 -0.0434 0.0477 -0.1242 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 6.97 7.19 7.39 9.9 13.55 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.16 3.19 -2.48 -1.29 5.18 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.563 3.104 -0.797 0.532 1.109
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.74
##   .. .. .. ..$ log.posterior.orig: num -2.47
##   .. .. .. ..$ mean              : num [1:55730] -1.968 -0.983 4.376 1.718 -16.177 ...
##   .. .. .. ..$ improved.mean     : num [1:55730] -1.968 -0.983 4.376 1.718 -16.177 ...
##   .. .. .. ..$ skewness          : logi [1:55730] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 0.0474 0.0245 0.0127 0.0112 0.0534 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:148301] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:148301] 122.2 127.5 242.4 310.2 19.1 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116274] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55731] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55730 55730
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116274] 0.0474 0.0245 0.0127 0.0112 0.0139 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:22764, 1:3] -0.073 -0.0585 -0.0437 0.0484 -0.1253 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:22764, 1:2] 7 7.22 7.41 9.84 13.63 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55730, 1:2] 27.018 3.269 -1.968 -0.983 4.376 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. ..$ max.log.posterior: num -90125
##   ..$ nfunc                             : num 680
##   ..$ warnings                          : chr(0) 
##   ..$ opt.trace                         :List of 3
##   .. ..$ f    : Named num [1:117] 23084995 22971537 22968585 8606679 8606625 ...
##   .. .. ..- attr(*, "names")= chr [1:117] "iter1" "iter2" "iter3" "iter4" ...
##   .. ..$ nfunc: Named int [1:117] 1 2 4 7 9 12 14 18 18 18 ...
##   .. .. ..- attr(*, "names")= chr [1:117] "iter1" "iter2" "iter3" "iter4" ...
##   .. ..$ theta: num [1:117, 1:5] 4 4 4 3 3 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : chr [1:117] "iter1" "iter2" "iter3" "iter4" ...
##   .. .. .. ..$ : chr [1:5] "theta1" "theta2" "theta3" "theta4" ...
##   ..$ theta.mode                        : num [1:5] -4.547 3.06 -0.881 0.46 0.929
##   ..$ linkfunctions                     :List of 2
##   .. ..$ names: chr "identity"
##   .. ..$ link : int [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ family                            : int [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##  $ dic                        :List of 14
##   ..$ dic              : num 174182
##   ..$ p.eff            : num 6054
##   ..$ mean.deviance    : num 168128
##   ..$ deviance.mean    : num 162074
##   ..$ dic.sat          : num 28804
##   ..$ mean.deviance.sat: num 22751
##   ..$ deviance.mean.sat: num 16702
##   ..$ family.dic       : num 174182
##   ..$ family.dic.sat   : num 28799
##   ..$ family.p.eff     : num 6054
##   ..$ family           : num [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ local.dic        : num [1:22764] 7.25 7.03 6.87 7.28 8.25 ...
##   ..$ local.dic.sat    : num [1:22764] 0.863 0.649 0.486 0.889 1.865 ...
##   ..$ local.p.eff      : num [1:22764] 0.195 0.174 0.161 0.337 0.165 ...
##  $ mode                       :List of 5
##   ..$ theta             : Named num [1:5] -4.547 3.06 -0.881 0.46 0.929
##   .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   ..$ x                 : num [1:134224] 6.69 6.94 7.16 9.97 13.64 ...
##   ..$ theta.tags        : chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   ..$ mode.status       : num 0
##   ..$ log.posterior.mode: num -90125
##  $ joint.hyper                :'data.frame': 27 obs. of  7 variables:
##   ..$ Log precision for the Gaussian observations : num [1:27] -4.55 -4.54 -4.55 -4.56 -4.53 ...
##   ..$ Theta1 for field                            : num [1:27] 3.06 3.05 3.07 3.08 3.04 ...
##   ..$ Theta2 for field                            : num [1:27] -0.881 -0.879 -0.883 -0.885 -0.878 ...
##   ..$ Theta3 for field                            : num [1:27] 0.46 0.44 0.479 0.451 0.468 ...
##   ..$ Theta4 for field                            : num [1:27] 0.929 0.939 0.919 0.93 0.928 ...
##   ..$ Log posterior density                       : num [1:27] -90143 -90146 -90146 -90146 -90146 ...
##   ..$ Total integration weight (log.dens included): num [1:27] 0.1217 0.0222 0.0214 0.0226 0.022 ...
##  $ nhyper                     : int 5
##  $ version                    :List of 2
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##  $ ok                         : logi TRUE
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##   .. .. .. .. ..$ to.theta  :function (x, REPLACE.ME.ngroup)  
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##  $ .args                      :List of 30
##   ..$ formula          :Class 'formula'  language BRU.response ~ f(Intercept, model = BRU_Intercept_main_model, ngroup = 1,      nrep = 1, values = BRU_Intercept_v| __truncated__ ...
##   ..$ family           : chr "gaussian"
##   ..$ data             :List of 21
##   .. ..$ BRU.response             : num [1:22764] 0 1.61 3.22 14.48 1.61 ...
##   .. ..$ BRU.E                    : num [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.Ntrials              : num [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.weights              : num [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.scale                : num [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.offset               : num [1:22764] 0 0 0 0 0 0 0 0 0 0 ...
##   .. ..$ Intercept                : num [1:55730] 1 NA NA NA NA NA NA NA NA NA ...
##   .. ..$ Intercept.group          : int [1:55730] 1 NA NA NA NA NA NA NA NA NA ...
##   .. ..$ Intercept.repl           : int [1:55730] 1 NA NA NA NA NA NA NA NA NA ...
##   .. ..$ SpeedLimit               : num [1:55730] NA 1 NA NA NA NA NA NA NA NA ...
##   .. ..$ SpeedLimit.group         : int [1:55730] NA 1 NA NA NA NA NA NA NA NA ...
##   .. ..$ SpeedLimit.repl          : int [1:55730] NA 1 NA NA NA NA NA NA NA NA ...
##   .. ..$ field                    : int [1:55730] NA NA 1 2 3 4 5 6 7 8 ...
##   .. ..$ field.group              : int [1:55730] NA NA 1 1 1 1 1 1 1 1 ...
##   .. ..$ field.repl               : int [1:55730] NA NA 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU_Intercept_main_model : chr "linear"
##   .. ..$ BRU_Intercept_values     : num 1
##   .. ..$ BRU_SpeedLimit_main_model: chr "linear"
##   .. ..$ BRU_SpeedLimit_values    : num 1
##   .. ..$ BRU_field_main_model     :List of 21
##   .. .. ..$ f                   :List of 3
##   .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. ..$ n       : int 13932
##   .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_nonstat_int_model"
##   .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. ..$ n    : int 13932
##   .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. ..$ ints      :List of 5
##   .. .. .. .. .. .. ..$ n          : int 13932
##   .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. ..$ graph_opt_i: int [1:29068] 0 0 0 0 1 1 1 1 1 2 ...
##   .. .. .. .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. ..$ alpha      : int 1
##   .. .. .. .. .. ..$ doubles   :List of 2
##   .. .. .. .. .. .. ..$ start.theta     : num [1:4] 2.86 -1.31 0 0
##   .. .. .. .. .. .. ..$ theta.prior.mean: num [1:4] 2.86 -1.31 0 0
##   .. .. .. .. .. ..$ characters:List of 3
##   .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_nonstat_int_model"
##   .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. ..$ matrices  :List of 3
##   .. .. .. .. .. .. ..$ B_tau           : num [1:69662] 13932 5 -0.693 -1 0.5 ...
##   .. .. .. .. .. .. ..$ B_kappa         : num [1:69662] 13932 5 0.693 0 -1 ...
##   .. .. .. .. .. .. ..$ theta.prior.prec: num [1:18] 4 4 0.1 0 0 0 0 0.1 0 0 ...
##   .. .. .. .. .. ..$ smatrices :List of 2
##   .. .. .. .. .. .. ..$ C: num [1:41799] 13932 13932 13932 0 1 ...
##   .. .. .. .. .. .. ..$ G: num [1:132615] 13932 13932 44204 0 5681 ...
##   .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. ..$ cgeneric_type       : chr "int_alpha"
##   .. .. ..$ nu                  : num 0.5
##   .. .. ..$ theta.prior.mean    : num [1:4] 2.86 -1.31 0 0
##   .. .. ..$ prior.nu            :List of 4
##   .. .. .. ..$ loglocation: num -5e-06
##   .. .. .. ..$ mean       : num 1
##   .. .. .. ..$ prec       : num 3
##   .. .. .. ..$ logscale   : num 1
##   .. .. ..$ theta.prior.prec    : num [1:4, 1:4] 0.1 0 0 0 0 0.1 0 0 0 0 ...
##   .. .. ..$ start.nu            : num 0.5
##   .. .. ..$ integer.nu          : logi TRUE
##   .. .. ..$ start.theta         : num [1:4] 2.86 -1.31 0 0
##   .. .. ..$ stationary          : logi FALSE
##   .. .. ..$ rspde.order         : num 2
##   .. .. ..$ dim                 : num 1
##   .. .. ..$ est_nu              : logi FALSE
##   .. .. ..$ nu.upper.bound      : num 2
##   .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. ..$ debug               : logi FALSE
##   .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. ..$ fem_mesh            :List of 4
##   .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
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##   .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
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##   .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
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##   .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
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##   .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
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##   .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
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##   .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
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##   .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
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##   .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. ..$ parameterization    : chr "matern"
##   .. .. ..$ n.spde              : int 13932
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##   .. ..$ BRU_field_values         : int [1:13932] 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ quantiles        : num [1:3] 0.025 0.5 0.975
##   ..$ E                : num [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
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##   ..$ Ntrials          : num [1:22764] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ verbose          : logi FALSE
##   ..$ control.compute  :List of 18
##   .. ..$ openmp.strategy           : chr "default"
##   .. ..$ hyperpar                  : logi TRUE
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##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta9  :List of 11
##   .. .. .. ..$ hyperid           : num 103009
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta9"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b9"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[9] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[9] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta10 :List of 11
##   .. .. .. ..$ hyperid           : num 103010
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta10"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b10"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[10] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[10] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta11 :List of 11
##   .. .. .. ..$ hyperid           : num 103011
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta11"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b11"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[11] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[11] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta12 :List of 11
##   .. .. .. ..$ hyperid           : num 103012
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta12"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b12"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[12] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[12] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta13 :List of 11
##   .. .. .. ..$ hyperid           : num 103013
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta13"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b13"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[13] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[13] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta14 :List of 11
##   .. .. .. ..$ hyperid           : num 103014
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta14"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b14"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[14] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[14] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta15 :List of 11
##   .. .. .. ..$ hyperid           : num 103015
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta15"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b15"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[15] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[15] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta16 :List of 11
##   .. .. .. ..$ hyperid           : num 103016
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta16"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b16"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[16] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[16] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta17 :List of 11
##   .. .. .. ..$ hyperid           : num 103017
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta17"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b17"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[17] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[17] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta18 :List of 11
##   .. .. .. ..$ hyperid           : num 103018
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta18"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b18"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[18] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[18] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta19 :List of 11
##   .. .. .. ..$ hyperid           : num 103019
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta19"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b19"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[19] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[19] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta20 :List of 11
##   .. .. .. ..$ hyperid           : num 103020
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta20"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b20"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[20] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[20] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta21 :List of 11
##   .. .. .. ..$ hyperid           : num 103021
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta21"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b21"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[21] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[21] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta22 :List of 11
##   .. .. .. ..$ hyperid           : num 103022
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta22"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b22"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[22] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[22] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta23 :List of 11
##   .. .. .. ..$ hyperid           : num 103023
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta23"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b23"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[23] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[23] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta24 :List of 11
##   .. .. .. ..$ hyperid           : num 103024
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta24"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b24"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[24] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[24] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta25 :List of 11
##   .. .. .. ..$ hyperid           : num 103025
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta25"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b25"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[25] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[25] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta26 :List of 11
##   .. .. .. ..$ hyperid           : num 103026
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta26"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b26"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[26] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[26] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta27 :List of 11
##   .. .. .. ..$ hyperid           : num 103027
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta27"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b27"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[27] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[27] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta28 :List of 11
##   .. .. .. ..$ hyperid           : num 103028
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta28"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b28"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[28] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[28] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta29 :List of 11
##   .. .. .. ..$ hyperid           : num 103029
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta29"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b29"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[29] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[29] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta30 :List of 11
##   .. .. .. ..$ hyperid           : num 103030
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta30"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b30"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[30] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[30] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta31 :List of 11
##   .. .. .. ..$ hyperid           : num 103031
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta31"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b31"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[31] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[31] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta32 :List of 11
##   .. .. .. ..$ hyperid           : num 103032
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta32"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b32"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[32] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[32] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta33 :List of 11
##   .. .. .. ..$ hyperid           : num 103033
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta33"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b33"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[33] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[33] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta34 :List of 11
##   .. .. .. ..$ hyperid           : num 103034
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta34"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b34"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[34] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[34] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta35 :List of 11
##   .. .. .. ..$ hyperid           : num 103035
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta35"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b35"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[35] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[35] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta36 :List of 11
##   .. .. .. ..$ hyperid           : num 103036
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta36"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b36"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[36] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[36] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta37 :List of 11
##   .. .. .. ..$ hyperid           : num 103037
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta37"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b37"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[37] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[37] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta38 :List of 11
##   .. .. .. ..$ hyperid           : num 103038
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta38"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b38"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[38] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[38] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta39 :List of 11
##   .. .. .. ..$ hyperid           : num 103039
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta39"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b39"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[39] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[39] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta40 :List of 11
##   .. .. .. ..$ hyperid           : num 103040
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta40"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b40"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[40] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[40] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta41 :List of 11
##   .. .. .. ..$ hyperid           : num 103041
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta41"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b41"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[41] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[41] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta42 :List of 11
##   .. .. .. ..$ hyperid           : num 103042
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta42"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b42"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[42] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[42] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta43 :List of 11
##   .. .. .. ..$ hyperid           : num 103043
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta43"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b43"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[43] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[43] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta44 :List of 11
##   .. .. .. ..$ hyperid           : num 103044
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta44"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b44"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[44] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[44] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta45 :List of 11
##   .. .. .. ..$ hyperid           : num 103045
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta45"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b45"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[45] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[45] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta46 :List of 11
##   .. .. .. ..$ hyperid           : num 103046
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta46"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b46"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[46] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[46] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta47 :List of 11
##   .. .. .. ..$ hyperid           : num 103047
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta47"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b47"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[47] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[47] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta48 :List of 11
##   .. .. .. ..$ hyperid           : num 103048
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta48"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b48"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[48] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[48] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta49 :List of 11
##   .. .. .. ..$ hyperid           : num 103049
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta49"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b49"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[49] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[49] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta50 :List of 11
##   .. .. .. ..$ hyperid           : num 103050
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta50"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b50"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[50] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[50] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta51 :List of 11
##   .. .. .. ..$ hyperid           : num 103051
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta51"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b51"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[51] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[51] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta52 :List of 11
##   .. .. .. ..$ hyperid           : num 103052
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta52"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b52"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[52] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[52] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta53 :List of 11
##   .. .. .. ..$ hyperid           : num 103053
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta53"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b53"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[53] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[53] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta54 :List of 11
##   .. .. .. ..$ hyperid           : num 103054
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta54"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b54"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[54] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[54] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta55 :List of 11
##   .. .. .. ..$ hyperid           : num 103055
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta55"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b55"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[55] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[55] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta56 :List of 11
##   .. .. .. ..$ hyperid           : num 103056
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta56"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b56"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[56] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[56] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta57 :List of 11
##   .. .. .. ..$ hyperid           : num 103057
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta57"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b57"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[57] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[57] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta58 :List of 11
##   .. .. .. ..$ hyperid           : num 103058
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta58"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b58"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[58] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[58] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta59 :List of 11
##   .. .. .. ..$ hyperid           : num 103059
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta59"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b59"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[59] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[59] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta60 :List of 11
##   .. .. .. ..$ hyperid           : num 103060
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta60"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b60"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[60] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[60] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta61 :List of 11
##   .. .. .. ..$ hyperid           : num 103061
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta61"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b61"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[61] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[61] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta62 :List of 11
##   .. .. .. ..$ hyperid           : num 103062
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta62"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b62"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[62] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[62] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta63 :List of 11
##   .. .. .. ..$ hyperid           : num 103063
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta63"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b63"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[63] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[63] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta64 :List of 11
##   .. .. .. ..$ hyperid           : num 103064
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta64"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b64"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[64] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[64] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta65 :List of 11
##   .. .. .. ..$ hyperid           : num 103065
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta65"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b65"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[65] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[65] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta66 :List of 11
##   .. .. .. ..$ hyperid           : num 103066
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta66"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b66"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[66] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[66] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta67 :List of 11
##   .. .. .. ..$ hyperid           : num 103067
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta67"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b67"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[67] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[67] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta68 :List of 11
##   .. .. .. ..$ hyperid           : num 103068
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta68"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b68"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[68] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[68] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta69 :List of 11
##   .. .. .. ..$ hyperid           : num 103069
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta69"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b69"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[69] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[69] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta70 :List of 11
##   .. .. .. ..$ hyperid           : num 103070
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta70"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b70"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[70] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[70] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta71 :List of 11
##   .. .. .. ..$ hyperid           : num 103071
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta71"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b71"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[71] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[71] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta72 :List of 11
##   .. .. .. ..$ hyperid           : num 103072
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta72"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b72"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[72] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[72] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta73 :List of 11
##   .. .. .. ..$ hyperid           : num 103073
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta73"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b73"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[73] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[73] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta74 :List of 11
##   .. .. .. ..$ hyperid           : num 103074
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta74"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b74"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[74] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[74] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta75 :List of 11
##   .. .. .. ..$ hyperid           : num 103075
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta75"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b75"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[75] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[75] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta76 :List of 11
##   .. .. .. ..$ hyperid           : num 103076
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta76"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b76"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[76] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[76] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta77 :List of 11
##   .. .. .. ..$ hyperid           : num 103077
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta77"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b77"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[77] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[77] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta78 :List of 11
##   .. .. .. ..$ hyperid           : num 103078
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta78"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b78"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[78] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[78] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta79 :List of 11
##   .. .. .. ..$ hyperid           : num 103079
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta79"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b79"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[79] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[79] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta80 :List of 11
##   .. .. .. ..$ hyperid           : num 103080
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta80"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b80"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[80] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[80] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta81 :List of 11
##   .. .. .. ..$ hyperid           : num 103081
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta81"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b81"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[81] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[81] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta82 :List of 11
##   .. .. .. ..$ hyperid           : num 103082
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta82"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b82"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[82] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[82] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta83 :List of 11
##   .. .. .. ..$ hyperid           : num 103083
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta83"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b83"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[83] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[83] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta84 :List of 11
##   .. .. .. ..$ hyperid           : num 103084
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta84"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b84"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[84] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[84] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta85 :List of 11
##   .. .. .. ..$ hyperid           : num 103085
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta85"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b85"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[85] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[85] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta86 :List of 11
##   .. .. .. ..$ hyperid           : num 103086
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta86"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b86"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[86] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[86] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta87 :List of 11
##   .. .. .. ..$ hyperid           : num 103087
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta87"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b87"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[87] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[87] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta88 :List of 11
##   .. .. .. ..$ hyperid           : num 103088
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta88"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b88"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[88] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[88] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta89 :List of 11
##   .. .. .. ..$ hyperid           : num 103089
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta89"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b89"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[89] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[89] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta90 :List of 11
##   .. .. .. ..$ hyperid           : num 103090
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta90"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b90"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[90] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[90] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
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##   ..$ .parent.frame    :<environment: R_GlobalEnv> 
##  $ call                       : chr [1:14] "inla.core(formula = formula, family = family, contrasts = contrasts, " "    data = data, quantiles = quantiles, E = E, offset = offset, " "    scale = scale, weights = weights, Ntrials = Ntrials, strata = strata, " "    lp.scale = lp.scale, link.covariates = link.covariates, verbose = verbose, " ...
##  $ model.matrix               :Formal class 'dsparseModelMatrix' [package "MatrixModels"] with 8 slots
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##   .. ..$ log      : chr [1:7] "2024-05-29 12:04:11.528651: iinla: Evaluate component inputs" "2024-05-29 12:04:11.592717: iinla: Evaluate component linearisations" "2024-05-29 12:04:19.66597: iinla: Evaluate component simplifications" "2024-05-29 12:04:27.668859: iinla: Evaluate predictor linearisation" ...
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##   ..$ track     :'data.frame':   111466 obs. of  6 variables:
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##   .. ..$ Elapsed  : 'difftime' num [1:2] 53.628 17.652
##   .. .. ..- attr(*, "units")= chr "secs"
##  $ bru_timings                :'data.frame': 3 obs. of  5 variables:
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##   ..$ Iteration: num [1:3] 0 1 1
##   ..$ Time     : 'difftime' num [1:3] 0.063999999999993 53.713 78.69
##   .. ..- attr(*, "units")= chr "secs"
##   ..$ System   : 'difftime' num [1:3] 0 0.024 0.152
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##   ..$ Elapsed  : 'difftime' num [1:3] 0.0630000000000024 53.628 17.652
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##  $ bru_info                   :List of 6
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##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "exchangeable"
##   .. .. .. .. ..$ type          : chr "exchangeable"
##   .. .. .. .. ..$ n             : num 1
##   .. .. .. .. ..$ values        : int 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ replicate   :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : int 1
##   .. .. .. .. .. ..$ label   : chr "Intercept.repl"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "iid"
##   .. .. .. .. ..$ type          : chr "iid"
##   .. .. .. .. ..$ n             : num 1
##   .. .. .. .. ..$ values        : int 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ weights     : NULL
##   .. .. .. ..$ copy        : NULL
##   .. .. .. ..$ marginal    : NULL
##   .. .. .. ..$ env         :<environment: R_GlobalEnv> 
##   .. .. .. ..$ env_extra   :<environment: 0x62c38bd19738> 
##   .. .. .. ..$ fcall       : language "f"(Intercept, model = BRU_Intercept_main_model, ngroup = 1, nrep = 1,      values = BRU_Intercept_values)
##   .. .. .. ..$ mapper      :List of 6
##   .. .. .. .. ..$ mappers  :List of 2
##   .. .. .. .. .. ..$ mapper:List of 9
##   .. .. .. .. .. .. ..$ mappers          :List of 3
##   .. .. .. .. .. .. .. ..$ main     : list()
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_linear" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ group    :List of 1
##   .. .. .. .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ replicate:List of 1
##   .. .. .. .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. .. .. ..$ n_multi          :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int 1
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: num 1
##   .. .. .. .. .. .. ..$ n_inla_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int 1
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: num 1
##   .. .. .. .. .. .. ..$ values_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 1
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int 1
##   .. .. .. .. .. .. ..$ values_inla_multi:List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 1
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int 1
##   .. .. .. .. .. .. ..$ is_linear_multi  :List of 3
##   .. .. .. .. .. .. .. ..$ main     : logi TRUE
##   .. .. .. .. .. .. .. ..$ group    : logi TRUE
##   .. .. .. .. .. .. .. ..$ replicate: logi TRUE
##   .. .. .. .. .. .. ..$ n                : num 1
##   .. .. .. .. .. .. ..$ n_inla           : num 1
##   .. .. .. .. .. .. ..$ is_linear        : logi TRUE
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_multi" "bru_mapper" "list"
##   .. .. .. .. .. ..$ scale : list()
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_scale" "bru_mapper" "list"
##   .. .. .. .. ..$          : Named logi [1:2] TRUE TRUE
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ is_linear: logi TRUE
##   .. .. .. .. ..$ n_multi  : Named int [1:2] 1 NA
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ n        : num 1
##   .. .. .. .. ..$ names    : chr [1:2] "mapper" "scale"
##   .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_pipe" "bru_mapper" "list"
##   .. .. .. ..- attr(*, "class")= chr [1:2] "component" "list"
##   .. .. ..$ SpeedLimit:List of 12
##   .. .. .. ..$ label       : chr "SpeedLimit"
##   .. .. .. ..$ inla.formula:Class 'formula'  language ~. + f(SpeedLimit, model = BRU_SpeedLimit_main_model, ngroup = 1, nrep = 1,      values = BRU_SpeedLimit_values)
##   .. .. .. .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. .. .. ..$ main        :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : symbol SpeedLimit
##   .. .. .. .. .. ..$ label   : chr "SpeedLimit"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        : list()
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_linear" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "linear"
##   .. .. .. .. ..$ type          : chr "linear"
##   .. .. .. .. ..$ n             : int 1
##   .. .. .. .. ..$ values        : num 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ group       :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : int 1
##   .. .. .. .. .. ..$ label   : chr "SpeedLimit.group"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "exchangeable"
##   .. .. .. .. ..$ type          : chr "exchangeable"
##   .. .. .. .. ..$ n             : num 1
##   .. .. .. .. ..$ values        : int 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ replicate   :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : int 1
##   .. .. .. .. .. ..$ label   : chr "SpeedLimit.repl"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "iid"
##   .. .. .. .. ..$ type          : chr "iid"
##   .. .. .. .. ..$ n             : num 1
##   .. .. .. .. ..$ values        : int 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ weights     : NULL
##   .. .. .. ..$ copy        : NULL
##   .. .. .. ..$ marginal    : NULL
##   .. .. .. ..$ env         :<environment: R_GlobalEnv> 
##   .. .. .. ..$ env_extra   :<environment: 0x62c38bd07610> 
##   .. .. .. ..$ fcall       : language "f"(SpeedLimit, model = BRU_SpeedLimit_main_model, ngroup = 1, nrep = 1,      values = BRU_SpeedLimit_values)
##   .. .. .. ..$ mapper      :List of 6
##   .. .. .. .. ..$ mappers  :List of 2
##   .. .. .. .. .. ..$ mapper:List of 9
##   .. .. .. .. .. .. ..$ mappers          :List of 3
##   .. .. .. .. .. .. .. ..$ main     : list()
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_linear" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ group    :List of 1
##   .. .. .. .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ replicate:List of 1
##   .. .. .. .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. .. .. ..$ n_multi          :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int 1
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: num 1
##   .. .. .. .. .. .. ..$ n_inla_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int 1
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: num 1
##   .. .. .. .. .. .. ..$ values_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 1
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int 1
##   .. .. .. .. .. .. ..$ values_inla_multi:List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 1
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int 1
##   .. .. .. .. .. .. ..$ is_linear_multi  :List of 3
##   .. .. .. .. .. .. .. ..$ main     : logi TRUE
##   .. .. .. .. .. .. .. ..$ group    : logi TRUE
##   .. .. .. .. .. .. .. ..$ replicate: logi TRUE
##   .. .. .. .. .. .. ..$ n                : num 1
##   .. .. .. .. .. .. ..$ n_inla           : num 1
##   .. .. .. .. .. .. ..$ is_linear        : logi TRUE
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_multi" "bru_mapper" "list"
##   .. .. .. .. .. ..$ scale : list()
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_scale" "bru_mapper" "list"
##   .. .. .. .. ..$          : Named logi [1:2] TRUE TRUE
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ is_linear: logi TRUE
##   .. .. .. .. ..$ n_multi  : Named int [1:2] 1 NA
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ n        : num 1
##   .. .. .. .. ..$ names    : chr [1:2] "mapper" "scale"
##   .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_pipe" "bru_mapper" "list"
##   .. .. .. ..- attr(*, "class")= chr [1:2] "component" "list"
##   .. .. ..$ field     :List of 12
##   .. .. .. ..$ label       : chr "field"
##   .. .. .. ..$ inla.formula:Class 'formula'  language ~. + f(field, model = BRU_field_main_model, replicate = field.repl, ngroup = 1,      nrep = 4L, values = BRU_field_values)
##   .. .. .. .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. .. .. ..$ main        :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : symbol loc
##   .. .. .. .. .. ..$ label   : chr "field"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ model:List of 21
##   .. .. .. .. .. .. ..$ f                   :List of 3
##   .. .. .. .. .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. .. .. .. .. ..$ n       : int 13932
##   .. .. .. .. .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_nonstat_int_model"
##   .. .. .. .. .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. ..$ n    : int 13932
##   .. .. .. .. .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. .. .. .. .. ..$ ints      :List of 5
##   .. .. .. .. .. .. .. .. .. .. ..$ n          : int 13932
##   .. .. .. .. .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_i: int [1:29068] 0 0 0 0 1 1 1 1 1 2 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ alpha      : int 1
##   .. .. .. .. .. .. .. .. .. ..$ doubles   :List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ start.theta     : num [1:4] 2.86 -1.31 0 0
##   .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean: num [1:4] 2.86 -1.31 0 0
##   .. .. .. .. .. .. .. .. .. ..$ characters:List of 3
##   .. .. .. .. .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_nonstat_int_model"
##   .. .. .. .. .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. .. .. .. .. ..$ matrices  :List of 3
##   .. .. .. .. .. .. .. .. .. .. ..$ B_tau           : num [1:69662] 13932 5 -0.693 -1 0.5 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ B_kappa         : num [1:69662] 13932 5 0.693 0 -1 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec: num [1:18] 4 4 0.1 0 0 0 0 0.1 0 0 ...
##   .. .. .. .. .. .. .. .. .. ..$ smatrices :List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ C: num [1:41799] 13932 13932 13932 0 1 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ G: num [1:132615] 13932 13932 44204 0 5681 ...
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. .. .. .. .. ..$ cgeneric_type       : chr "int_alpha"
##   .. .. .. .. .. .. ..$ nu                  : num 0.5
##   .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:4] 2.86 -1.31 0 0
##   .. .. .. .. .. .. ..$ prior.nu            :List of 4
##   .. .. .. .. .. .. .. ..$ loglocation: num -5e-06
##   .. .. .. .. .. .. .. ..$ mean       : num 1
##   .. .. .. .. .. .. .. ..$ prec       : num 3
##   .. .. .. .. .. .. .. ..$ logscale   : num 1
##   .. .. .. .. .. .. ..$ theta.prior.prec    : num [1:4, 1:4] 0.1 0 0 0 0 0.1 0 0 0 0 ...
##   .. .. .. .. .. .. ..$ start.nu            : num 0.5
##   .. .. .. .. .. .. ..$ integer.nu          : logi TRUE
##   .. .. .. .. .. .. ..$ start.theta         : num [1:4] 2.86 -1.31 0 0
##   .. .. .. .. .. .. ..$ stationary          : logi FALSE
##   .. .. .. .. .. .. ..$ rspde.order         : num 2
##   .. .. .. .. .. .. ..$ dim                 : num 1
##   .. .. .. .. .. .. ..$ est_nu              : logi FALSE
##   .. .. .. .. .. .. ..$ nu.upper.bound      : num 2
##   .. .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. .. ..$ fem_mesh            :List of 4
##   .. .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_inla_rspde" "bru_mapper" "list"
##   .. .. .. .. ..$ model         :List of 21
##   .. .. .. .. .. ..$ f                   :List of 3
##   .. .. .. .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. .. .. .. ..$ n       : int 13932
##   .. .. .. .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_nonstat_int_model"
##   .. .. .. .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. ..$ n    : int 13932
##   .. .. .. .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. .. .. .. ..$ ints      :List of 5
##   .. .. .. .. .. .. .. .. .. ..$ n          : int 13932
##   .. .. .. .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. .. .. .. ..$ graph_opt_i: int [1:29068] 0 0 0 0 1 1 1 1 1 2 ...
##   .. .. .. .. .. .. .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. ..$ alpha      : int 1
##   .. .. .. .. .. .. .. .. ..$ doubles   :List of 2
##   .. .. .. .. .. .. .. .. .. ..$ start.theta     : num [1:4] 2.86 -1.31 0 0
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean: num [1:4] 2.86 -1.31 0 0
##   .. .. .. .. .. .. .. .. ..$ characters:List of 3
##   .. .. .. .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_nonstat_int_model"
##   .. .. .. .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. .. .. .. ..$ matrices  :List of 3
##   .. .. .. .. .. .. .. .. .. ..$ B_tau           : num [1:69662] 13932 5 -0.693 -1 0.5 ...
##   .. .. .. .. .. .. .. .. .. ..$ B_kappa         : num [1:69662] 13932 5 0.693 0 -1 ...
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec: num [1:18] 4 4 0.1 0 0 0 0 0.1 0 0 ...
##   .. .. .. .. .. .. .. .. ..$ smatrices :List of 2
##   .. .. .. .. .. .. .. .. .. ..$ C: num [1:41799] 13932 13932 13932 0 1 ...
##   .. .. .. .. .. .. .. .. .. ..$ G: num [1:132615] 13932 13932 44204 0 5681 ...
##   .. .. .. .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. .. .. .. ..$ cgeneric_type       : chr "int_alpha"
##   .. .. .. .. .. ..$ nu                  : num 0.5
##   .. .. .. .. .. ..$ theta.prior.mean    : num [1:4] 2.86 -1.31 0 0
##   .. .. .. .. .. ..$ prior.nu            :List of 4
##   .. .. .. .. .. .. ..$ loglocation: num -5e-06
##   .. .. .. .. .. .. ..$ mean       : num 1
##   .. .. .. .. .. .. ..$ prec       : num 3
##   .. .. .. .. .. .. ..$ logscale   : num 1
##   .. .. .. .. .. ..$ theta.prior.prec    : num [1:4, 1:4] 0.1 0 0 0 0 0.1 0 0 0 0 ...
##   .. .. .. .. .. ..$ start.nu            : num 0.5
##   .. .. .. .. .. ..$ integer.nu          : logi TRUE
##   .. .. .. .. .. ..$ start.theta         : num [1:4] 2.86 -1.31 0 0
##   .. .. .. .. .. ..$ stationary          : logi FALSE
##   .. .. .. .. .. ..$ rspde.order         : num 2
##   .. .. .. .. .. ..$ dim                 : num 1
##   .. .. .. .. .. ..$ est_nu              : logi FALSE
##   .. .. .. .. .. ..$ nu.upper.bound      : num 2
##   .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. ..$ fem_mesh            :List of 4
##   .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. ..$ type          : chr "cgeneric"
##   .. .. .. .. ..$ n             : num 13932
##   .. .. .. .. ..$ values        : int [1:13932] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ group       :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : int 1
##   .. .. .. .. .. ..$ label   : chr "field.group"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "exchangeable"
##   .. .. .. .. ..$ type          : chr "exchangeable"
##   .. .. .. .. ..$ n             : num 1
##   .. .. .. .. ..$ values        : int 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ replicate   :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : language data_rspde_bru_nonstat[["repl"]]
##   .. .. .. .. .. ..$ label   : chr "field.repl"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 4
##   .. .. .. .. .. ..$ levels        : chr [1:4] "1" "2" "3" "4"
##   .. .. .. .. .. ..$ factor_mapping: chr "full"
##   .. .. .. .. .. ..$ indexed       : logi TRUE
##   .. .. .. .. .. ..$ n             : int 4
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:4] "bru_mapper_factor_index" "bru_mapper_factor" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "iid"
##   .. .. .. .. ..$ type          : chr "iid"
##   .. .. .. .. ..$ n             : int 4
##   .. .. .. .. ..$ values        : int [1:4] 1 2 3 4
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ weights     : NULL
##   .. .. .. ..$ copy        : NULL
##   .. .. .. ..$ marginal    : NULL
##   .. .. .. ..$ env         :<environment: R_GlobalEnv> 
##   .. .. .. ..$ env_extra   :<environment: 0x62c38bcefa38> 
##   .. .. .. ..$ fcall       : language "f"(field, model = BRU_field_main_model, replicate = field.repl, ngroup = 1,      nrep = 4L, values = BRU_field_values)
##   .. .. .. ..$ mapper      :List of 6
##   .. .. .. .. ..$ mappers  :List of 2
##   .. .. .. .. .. ..$ mapper:List of 9
##   .. .. .. .. .. .. ..$ mappers          :List of 3
##   .. .. .. .. .. .. .. ..$ main     :List of 1
##   .. .. .. .. .. .. .. .. ..$ model:List of 21
##   .. .. .. .. .. .. .. .. .. ..$ f                   :List of 3
##   .. .. .. .. .. .. .. .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. .. .. .. .. .. .. .. ..$ n       : int 13932
##   .. .. .. .. .. .. .. .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. .. .. .. .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_nonstat_int_model"
##   .. .. .. .. .. .. .. .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. .. .. ..$ n    : int 13932
##   .. .. .. .. .. .. .. .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. .. .. .. .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ ints      :List of 5
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ n          : int 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_i: int [1:29068] 0 0 0 0 1 1 1 1 1 2 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ alpha      : int 1
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ doubles   :List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ start.theta     : num [1:4] 2.86 -1.31 0 0
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean: num [1:4] 2.86 -1.31 0 0
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ characters:List of 3
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_nonstat_int_model"
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ matrices  :List of 3
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ B_tau           : num [1:69662] 13932 5 -0.693 -1 0.5 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ B_kappa         : num [1:69662] 13932 5 0.693 0 -1 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec: num [1:18] 4 4 0.1 0 0 0 0 0.1 0 0 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ smatrices :List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ C: num [1:41799] 13932 13932 13932 0 1 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ G: num [1:132615] 13932 13932 44204 0 5681 ...
##   .. .. .. .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. .. .. .. .. .. .. .. ..$ cgeneric_type       : chr "int_alpha"
##   .. .. .. .. .. .. .. .. .. ..$ nu                  : num 0.5
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:4] 2.86 -1.31 0 0
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu            :List of 4
##   .. .. .. .. .. .. .. .. .. .. ..$ loglocation: num -5e-06
##   .. .. .. .. .. .. .. .. .. .. ..$ mean       : num 1
##   .. .. .. .. .. .. .. .. .. .. ..$ prec       : num 3
##   .. .. .. .. .. .. .. .. .. .. ..$ logscale   : num 1
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec    : num [1:4, 1:4] 0.1 0 0 0 0 0.1 0 0 0 0 ...
##   .. .. .. .. .. .. .. .. .. ..$ start.nu            : num 0.5
##   .. .. .. .. .. .. .. .. .. ..$ integer.nu          : logi TRUE
##   .. .. .. .. .. .. .. .. .. ..$ start.theta         : num [1:4] 2.86 -1.31 0 0
##   .. .. .. .. .. .. .. .. .. ..$ stationary          : logi FALSE
##   .. .. .. .. .. .. .. .. .. ..$ rspde.order         : num 2
##   .. .. .. .. .. .. .. .. .. ..$ dim                 : num 1
##   .. .. .. .. .. .. .. .. .. ..$ est_nu              : logi FALSE
##   .. .. .. .. .. .. .. .. .. ..$ nu.upper.bound      : num 2
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. .. .. .. .. ..$ fem_mesh            :List of 4
##   .. .. .. .. .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
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##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
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##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_inla_rspde" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ group    :List of 1
##   .. .. .. .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ replicate:List of 4
##   .. .. .. .. .. .. .. .. ..$ levels        : chr [1:4] "1" "2" "3" "4"
##   .. .. .. .. .. .. .. .. ..$ factor_mapping: chr "full"
##   .. .. .. .. .. .. .. .. ..$ indexed       : logi TRUE
##   .. .. .. .. .. .. .. .. ..$ n             : int 4
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:4] "bru_mapper_factor_index" "bru_mapper_factor" "bru_mapper" "list"
##   .. .. .. .. .. .. ..$ n_multi          :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 13932
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: int 4
##   .. .. .. .. .. .. ..$ n_inla_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 13932
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: int 4
##   .. .. .. .. .. .. ..$ values_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int [1:13932] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int [1:4] 1 2 3 4
##   .. .. .. .. .. .. ..$ values_inla_multi:List of 3
##   .. .. .. .. .. .. .. ..$ main     : int [1:13932] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int [1:4] 1 2 3 4
##   .. .. .. .. .. .. ..$ is_linear_multi  :List of 3
##   .. .. .. .. .. .. .. ..$ main     : logi TRUE
##   .. .. .. .. .. .. .. ..$ group    : logi TRUE
##   .. .. .. .. .. .. .. ..$ replicate: logi TRUE
##   .. .. .. .. .. .. ..$ n                : num 55728
##   .. .. .. .. .. .. ..$ n_inla           : num 55728
##   .. .. .. .. .. .. ..$ is_linear        : logi TRUE
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_multi" "bru_mapper" "list"
##   .. .. .. .. .. ..$ scale : list()
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_scale" "bru_mapper" "list"
##   .. .. .. .. ..$          : Named logi [1:2] TRUE TRUE
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ is_linear: logi TRUE
##   .. .. .. .. ..$ n_multi  : Named int [1:2] 55728 NA
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ n        : num 55728
##   .. .. .. .. ..$ names    : chr [1:2] "mapper" "scale"
##   .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_pipe" "bru_mapper" "list"
##   .. .. .. ..- attr(*, "class")= chr [1:2] "component" "list"
##   .. .. ..- attr(*, "class")= chr [1:2] "component_list" "list"
##   .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. ..$ formula:Class 'formula'  language BRU_response ~ f(Intercept, model = BRU_Intercept_main_model, ngroup = 1,      nrep = 1, values = BRU_Intercept_v| __truncated__ ...
##   .. .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. ..- attr(*, "class")= chr [1:2] "bru_model" "list"
##   ..$ lhoods         :List of 1
##   .. ..$ :List of 17
##   .. .. ..$ family        : chr "gaussian"
##   .. .. ..$ formula       :Class 'formula'  language speed ~ .
##   .. .. .. .. ..- attr(*, ".Environment")=<environment: 0x62c38bf45fd0> 
##   .. .. ..$ response_data :List of 4
##   .. .. .. ..$ BRU_response: num [1:22764] 0 1.61 3.22 14.48 1.61 ...
##   .. .. .. ..$ BRU_E       : num 1
##   .. .. .. ..$ BRU_Ntrials : num 1
##   .. .. .. ..$ BRU_scale   : num 1
##   .. .. ..$ data          :List of 8
##   .. .. .. ..$ speed            : num [1:22764] 0 1.61 3.22 14.48 1.61 ...
##   .. .. .. ..$ SpeedLimit       : num [1:22764] -1.2 -1.2 -1.2 -1.2 -1.2 ...
##   .. .. .. ..$ .coord_x         : num [1:22764] -122 -122 -122 -122 -122 ...
##   .. .. .. ..$ .coord_y         : num [1:22764] 37.8 37.8 37.8 37.8 37.8 ...
##   .. .. .. ..$ .edge_number     : num [1:22764] 3 3 3 3 3 3 3 6 6 6 ...
##   .. .. .. ..$ .distance_on_edge: num [1:22764] 0.0148 0.0489 0.079 0.4594 0.7623 ...
##   .. .. .. ..$ .group           : chr [1:22764] "1" "1" "1" "1" ...
##   .. .. .. ..$ loc              : num [1:22764, 1:2] 3 3 3 3 3 3 3 6 6 6 ...
##   .. .. .. ..- attr(*, "class")= chr [1:2] "metric_graph_data" "list"
##   .. .. ..$ E             : num 1
##   .. .. ..$ Ntrials       : num 1
##   .. .. ..$ weights       : num 1
##   .. .. ..$ scale         : num 1
##   .. .. ..$ samplers      : NULL
##   .. .. ..$ linear        : logi TRUE
##   .. .. ..$ expr          : NULL
##   .. .. ..$ response      : chr "BRU_response"
##   .. .. ..$ inla.family   : chr "gaussian"
##   .. .. ..$ domain        : NULL
##   .. .. ..$ used          :List of 2
##   .. .. .. ..$ effect: chr [1:3] "Intercept" "SpeedLimit" "field"
##   .. .. .. ..$ latent: chr(0) 
##   .. .. .. ..- attr(*, "class")= chr "bru_used"
##   .. .. ..$ allow_combine : logi TRUE
##   .. .. ..$ control.family: NULL
##   .. .. ..- attr(*, "class")= chr [1:2] "bru_like" "list"
##   .. ..- attr(*, "class")= chr [1:2] "bru_like_list" "list"
##   ..$ options        :List of 14
##   .. ..$ bru_verbose      : num 0
##   .. ..$ bru_verbose_store: num Inf
##   .. ..$ bru_max_iter     : num 1
##   .. ..$ bru_run          : logi TRUE
##   .. ..$ bru_int_args     :List of 3
##   .. .. ..$ method: chr "stable"
##   .. .. ..$ nsub1 : num 30
##   .. .. ..$ nsub2 : num 9
##   .. ..$ bru_method       :List of 6
##   .. .. ..$ taylor         : chr "pandemic"
##   .. .. ..$ search         : chr "all"
##   .. .. ..$ factor         : num 1.62
##   .. .. ..$ rel_tol        : num 0.1
##   .. .. ..$ max_step       : num 2
##   .. .. ..$ line_opt_method: chr "onestep"
##   .. ..$ bru_compress_cp  : logi TRUE
##   .. ..$ bru_debug        : logi FALSE
##   .. ..$ E                : num 1
##   .. ..$ Ntrials          : num 1
##   .. ..$ control.compute  :List of 3
##   .. .. ..$ config: logi TRUE
##   .. .. ..$ dic   : logi TRUE
##   .. .. ..$ waic  : logi TRUE
##   .. ..$ control.inla     :List of 1
##   .. .. ..$ int.strategy: chr "auto"
##   .. ..$ control.fixed    :List of 1
##   .. .. ..$ expand.factor.strategy: chr "inla"
##   .. ..$ verbose          : logi FALSE
##   .. ..- attr(*, "class")= chr [1:2] "bru_options" "list"
##   ..$ inlabru_version: Named chr "2.10.1.9007"
##   .. ..- attr(*, "names")= chr "version"
##   ..$ INLA_version   : Named chr "24.05.18-2"
##   .. ..- attr(*, "names")= chr "version"
##   ..- attr(*, "class")= chr [1:2] "bru_info" "list"
##  - attr(*, "class")= chr [1:3] "bru" "iinla" "inla"
nonstat.time.fin <- Sys.time()
print(nonstat.time.fin - nonstat.time.ini)
## Time difference of 1.370855 mins
summary(rspde_fit_nonstat)
## inlabru version: 2.10.1.9007
## INLA version: 24.05.18-2
## Components:
## Intercept: main = linear(1), group = exchangeable(1L), replicate = iid(1L)
## SpeedLimit: main = linear(SpeedLimit), group = exchangeable(1L), replicate = iid(1L)
## field: main = cgeneric(loc), group = exchangeable(1L), replicate = iid(data_rspde_bru_nonstat[["repl"]])
## Likelihoods:
##   Family: 'gaussian'
##     Data class: 'metric_graph_data', 'list'
##     Predictor: speed ~ .
## Time used:
##     Pre = 0.169, Running = 15.6, Post = 1.81, Total = 17.6 
## Fixed effects:
##              mean    sd 0.025quant 0.5quant 0.975quant   mode kld
## Intercept  27.154 0.300     26.569   27.152     27.747 27.152   0
## SpeedLimit  3.202 0.166      2.875    3.203      3.524  3.204   0
## 
## Random effects:
##   Name     Model
##     field CGeneric
## 
## Model hyperparameters:
##                                           mean    sd 0.025quant 0.5quant
## Precision for the Gaussian observations  0.011 0.000      0.010    0.011
## Theta1 for field                         3.072 0.041      2.999    3.070
## Theta2 for field                        -0.852 0.106     -1.045   -0.857
## Theta3 for field                         0.476 0.053      0.379    0.473
## Theta4 for field                         0.961 0.107      0.767    0.956
##                                         0.975quant   mode
## Precision for the Gaussian observations      0.011  0.011
## Theta1 for field                             3.158  3.061
## Theta2 for field                            -0.630 -0.879
## Theta3 for field                             0.589  0.461
## Theta4 for field                             1.188  0.932
## 
## Deviance Information Criterion (DIC) ...............: 174181.75
## Deviance Information Criterion (DIC, saturated) ....: 28804.43
## Effective number of parameters .....................: 6053.70
## 
## Watanabe-Akaike information criterion (WAIC) ...: 174219.95
## Effective number of parameters .................: 4991.40
## 
## Marginal log-Likelihood:  -90138.64 
##  is computed 
## Posterior summaries for the linear predictor and the fitted values are computed
## (Posterior marginals needs also 'control.compute=list(return.marginals.predictor=TRUE)')
summary(rspde.result(rspde_fit_nonstat, "field", rspde_model_nonstat))
##                    mean        sd 0.025quant  0.5quant 0.975quant      mode
## Theta1.matern  3.072320 0.0405194   2.998990  3.070360   3.157880  3.061020
## Theta2.matern -0.852029 0.1058460  -1.045140 -0.856706  -0.629733 -0.878853
## Theta3.matern  0.475787 0.0534248   0.379133  0.473207   0.588623  0.460861
## Theta4.matern  0.961499 0.1071840   0.767471  0.956353   1.187790  0.931750

1.3 Crossvalidation 1

#load(here("Models_output/distmatrixfixed.RData"))

points = data %>%
  as.data.frame() %>%
  st_as_sf(coords = c(".coord_x", ".coord_y"), crs = 4326) %>%
  mutate(., index = 1:nrow(.)) %>% 
  st_drop_geometry() %>%
  dplyr:::select(speed, .group, index) %>%
  mutate(.group = as.numeric(.group)) %>%
  group_by(.group) %>%
  mutate(indexingroup = seq_len(n())) %>%
  ungroup()

distance = seq(from = 0, to = 200, by = 20)/1000

The code of chunk below was executed only one time.


{r}
load(here("Models_output/distmatrix_day7142128_hour16.RData"))

points = data %>%
  as.data.frame() %>%
  mutate(., index = 1:nrow(.)) %>% 
  dplyr:::select(speed, .group, index) %>%
  mutate(.group = as.numeric(.group)) %>%
  group_by(.group) %>%
  mutate(indexingroup = seq_len(n())) %>%
  ungroup()

distance = seq(from = 0, to = 200, by = 20)/1000

GROUPS <- list()
for (j in 1:length(distance)) {
  print(j)
  GROUPS[[j]] = list()
  for (i in 1:nrow(points)) {
    rowi = points[i, ]
    which.in.group <- which(as.vector(distmatrixlist[[rowi$.group]][rowi$indexingroup,]) <= distance[j])
    GROUPS[[j]][[i]] <- filter(points, .group == rowi$.group)[which.in.group, ]$index
  }
}
save(GROUPS, file = here("Models_output/GROUPS_day7142128_hour16.RData"))

The code of chunk above was executed only one time.


load(here("Models_output/GROUPS_day7142128_hour16.RData"))
mse.stat <- mse.nonstat <- ls.stat <- ls.nonstat <- rep(0,length(distance))
# cross-validation for-loop
for (j in 1:length(distance)) {
  print(j)
  # cross-validation of the stationary model
  cv.stat <- inla.group.cv(rspde_fit_stat, groups = GROUPS[[j]])
  # cross-validation of the nonstationary model
  cv.nonstat <- inla.group.cv(rspde_fit_nonstat, groups = GROUPS[[j]])
  # obtain MSE and LS
  mse.stat[j] <- mean((cv.stat$mean - points$speed)^2)
  mse.nonstat[j] <- mean((cv.nonstat$mean - points$speed)^2)
  ls.stat[j] <- mean(log(cv.stat$cv))
  ls.nonstat[j] <- mean(log(cv.nonstat$cv))
}
## [1] 1
## [1] 2
## [1] 3
## [1] 4
## [1] 5
## [1] 6
## [1] 7
## [1] 8
## [1] 9
## [1] 10
## [1] 11

## plot results
par(mfrow = c(2,2), family = "Palatino")

# Plot MSE
plot(distance, mse.stat, main = "MSE", ylim = c(min(mse.nonstat, mse.stat), max(mse.nonstat, mse.stat)),
     type = "l", ylab = "MSE", xlab = "distance in m", col = "black")
lines(distance, mse.nonstat, col = "blue")
legend("bottomright", legend = c("Stationary", "Non-stationary"), col = c("black", "blue"), lty = 1)

# Plot log-score
plot(distance, -ls.stat, main = "log-score", ylim = c(min(-ls.nonstat, -ls.stat), max(-ls.nonstat, -ls.stat)),
     type = "l", ylab = "log-score", xlab = "distance in m", col = "black")
lines(distance, -ls.nonstat, col = "blue")
legend("bottomright", legend = c("Stationary", "Non-stationary"), col = c("black", "blue"), lty = 1)

save.image(here(paste0("Models_output/", rmarkdown::metadata$title, ".RData")))